发布求助
文献互助 智能选刊 最新文献

International Electronic Journal of Geometry最新文献

筛选
英文 中文
Normalized Null hypersurfaces of Indefinite K"{a}hler Manifolds 不定K {a}hler流形的归一化零超曲面
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-04-28 DOI: 10.36890/iejg.1148612
Amrınder Pal Singh, C. Atindogbe, Rakesh Kumar, V. Jain
{"title":"Normalized Null hypersurfaces of Indefinite K\"{a}hler Manifolds","authors":"Amrınder Pal Singh, C. Atindogbe, Rakesh Kumar, V. Jain","doi":"10.36890/iejg.1148612","DOIUrl":"https://doi.org/10.36890/iejg.1148612","url":null,"abstract":"We study null hypersurfaces of indefinite K\"{a}hler manifolds and by taking the advantages of the almost complex structure $J$, we select a suitable rigging $zeta$, which we call the $J-$rigging, on the null hypersurface. This suitable rigging enables us to build an associated Hermitian metric $breve{g}$ on the ambient space and which is restricted into a non-degenerated metric $widetilde{g}$ on the normalized null hypersurface. We derive Gauss-Weingarten type formulae for null hypersurface $M$ of an indefinite K\"{a}hler manifold $overline{M}$ with a fixed closed Killing $J-$rigging for $M$. Later, we establish some relations linking the curvatures, null sectional curvatures, Ricci curvatures, scalar curvatures etc. of the ambient manifold and normalized null hypersurface.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45971409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An almost Complex Structure with Norden Metric on the Phase Space 相空间上具有诺登度量的几乎复杂结构
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-04-27 DOI: 10.36890/iejg.1278651
C. Bejan, G. Nakova
{"title":"An almost Complex Structure with Norden Metric on the Phase Space","authors":"C. Bejan, G. Nakova","doi":"10.36890/iejg.1278651","DOIUrl":"https://doi.org/10.36890/iejg.1278651","url":null,"abstract":"On the total space of the cotangent bundle of a Riemannian manifold, we construct a semi-Riemannian metric $G$, with respect to which an almost complex structure $J$ introduced by Oproiu and Porocb{s}niuc is self-adjoint. The structure $(J,G)$ turnes out to be an almost complex structure with Norden metric (this notion is known in the literature from Norden's papers). The semi-Riemannian context is different from the Riemannian one, as it is pointed out by Duggal and Bejancu in their monograph. We study this structure and provide some necessary and sufficient conditions for it to be a K\"ahler structure with Norden metric.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43361611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mckean-type Estimates for the First Eigenvalue of the $p$-Laplacian and $(p,q)$-Laplacian ‎Operators‎ on Finsler Manifolds $p$-Laplacian和$（p，q）$-Laplacean第一特征值的Mckean型估计‎操作员‎ 关于Finsler流形
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-04-26 DOI: 10.36890/iejg.1133383
Sakineh Haji̇aghasi̇, S. Azami
{"title":"Mckean-type Estimates for the First Eigenvalue of the $p$-Laplacian and $(p,q)$-Laplacian ‎Operators‎ on Finsler Manifolds","authors":"Sakineh Haji̇aghasi̇, S. Azami","doi":"10.36890/iejg.1133383","DOIUrl":"https://doi.org/10.36890/iejg.1133383","url":null,"abstract":"‎In this paper‎, ‎we use Hessian comparison and volume comparison theorems to investigate the Mckean-type estimate theorem for the first eigenvalue of p-Laplacian and (p,q)-Laplacian operators on Finsler manifolds‎.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48172945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Isometric Immersions of Null Manifolds into Semi-Riemannian Space Forms of Arbitrary Index 零流形在任意指标半黎曼空间形式中的等距浸入
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-04-25 DOI: 10.36890/iejg.1274307
Carlos Avi̇la, Matias Navarro, O. Palmas, D. Solis
{"title":"On Isometric Immersions of Null Manifolds into Semi-Riemannian Space Forms of Arbitrary Index","authors":"Carlos Avi̇la, Matias Navarro, O. Palmas, D. Solis","doi":"10.36890/iejg.1274307","DOIUrl":"https://doi.org/10.36890/iejg.1274307","url":null,"abstract":"A null manifold is a differentiable manifold M endowed with a degenerate metric tensor g. In this work we provide sufficient conditions for a null manifold to be isometrically immersed as a hypersurface into a simple connected semi-Riemannian manifold of constant sectional curvature c and index q","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44330563","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inversions and Fractal Patterns in Alpha Plane α平面的反转与分形模式
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-04-25 DOI: 10.36890/iejg.1244520
Ö. Gelişgen, T. Ermiş
{"title":"Inversions and Fractal Patterns in Alpha Plane","authors":"Ö. Gelişgen, T. Ermiş","doi":"10.36890/iejg.1244520","DOIUrl":"https://doi.org/10.36890/iejg.1244520","url":null,"abstract":"In this paper, we introduce the alpha circle inversion by using alpha distance function instead of Euclidean distance in definition of classical inversion. We give some proporties of alpha circle inversion. Also this new transformation is applied to well known fractals. Then new fractal patterns are obtained. Moreover we generalize the method called circle inversion fractal be means of the alpha circle inversion. In alpha plane, we give a generalization of alpha circle inversion fractal by using the concept of star-shaped set inversion which is a generalization of circle inversion fractal.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45190642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rigidity Results On Generalized m-Quasi Einstein Manifolds with Associated Affine Killing Vector Field. 具有关联仿射杀伤向量场的广义m-拟爱因斯坦流形的刚性结果。
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-04-20 DOI: 10.36890/iejg.1286128
Rahul Poddar, B. Subramanian, R. Sharma
{"title":"Rigidity Results On Generalized m-Quasi Einstein Manifolds with Associated Affine Killing Vector Field.","authors":"Rahul Poddar, B. Subramanian, R. Sharma","doi":"10.36890/iejg.1286128","DOIUrl":"https://doi.org/10.36890/iejg.1286128","url":null,"abstract":"We study a non-trivial generalized $m$-quasi Einstein manifold $M$ with finite $m$ and associated divergence-free affine Killing vector field, and show that $M$ reduces to an $m$-quasi Einstein manifold. In addition, if $M$ is complete, then it splits as the product of a line and an $(n-1)$-dimensional negatively Einstein manifold. Finally, we show that the same result holds for a complete non-trivial $m$-quasi Einstein manifold $M$ with finite $m$ and associated affine Killing vector field.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47571914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inequalities on Isotropic Submanifolds in Pseudo-Riemannian Space Forms 伪黎曼空间形式中关于各向同性子流形的不等式
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-04-20 DOI: 10.36890/iejg.1260464
Alexandru Ciobanu
{"title":"Inequalities on Isotropic Submanifolds in Pseudo-Riemannian Space Forms","authors":"Alexandru Ciobanu","doi":"10.36890/iejg.1260464","DOIUrl":"https://doi.org/10.36890/iejg.1260464","url":null,"abstract":"Spacelike and timelike isotropic submanifolds of pseudo-Riemannian spaces have interesting properties, with important applications in Mathematics and Physics. The article presents inequalities for isotropic spacelike and timelike submanifolds of pseudo-Riemannian space forms and isotropic Lorentzian submanifolds are also considered.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47246381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Pointwise $k$-slant Submanifolds of Almost Contact Metric Manifolds 几乎接触度量流形的点态$k$斜子流形
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-04-20 DOI: 10.36890/iejg.1274538
A. Blaga, D. Laţcu
{"title":"On Pointwise $k$-slant Submanifolds of Almost Contact Metric Manifolds","authors":"A. Blaga, D. Laţcu","doi":"10.36890/iejg.1274538","DOIUrl":"https://doi.org/10.36890/iejg.1274538","url":null,"abstract":"We establish some properties of the $k$-slant and pointwise $k$-slant submanifolds of an almost contact metric manifold with a special view towards the integrability of the component distributions. We prove some results for totally geodesic pointwise $k$-slant submanifolds. Furthermore, we obtain some nonexistence results for pointwise $k$-slant submanifolds in the almost contact metric setting.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46291763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The Stability Problem of Certain Anti-Invariant Submanifolds in Golden Riemannian Manifolds 金黎曼流形中若干反不变子流形的稳定性问题
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-04-20 DOI: 10.36890/iejg.1240437
Mustafa Gök, E. Kiliç
{"title":"The Stability Problem of Certain Anti-Invariant Submanifolds in Golden Riemannian Manifolds","authors":"Mustafa Gök, E. Kiliç","doi":"10.36890/iejg.1240437","DOIUrl":"https://doi.org/10.36890/iejg.1240437","url":null,"abstract":"In this study, we discuss the stability of some anti-invariant submanifolds of golden Riemannian manifolds under certain conditions in terms of the Ricci curvature tensors of the ambient manifold and the submanifold.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47102385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Aspects on a Special Type of $(alpha,beta )$-metric 一种特殊类型$(alpha,beta )$ -metric的几个方面
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-04-19 DOI: 10.36890/iejg.1265041
Laurian-loan Piscoran, C. Barbu
{"title":"Some Aspects on a Special Type of $(alpha,beta )$-metric","authors":"Laurian-loan Piscoran, C. Barbu","doi":"10.36890/iejg.1265041","DOIUrl":"https://doi.org/10.36890/iejg.1265041","url":null,"abstract":"The aim of this paper is twofold. Firstly, we will investigate the link between the condition for the functions $phi(s)$ from $(alpha, beta)$-metrics of Douglas type to be self-concordant and k-self concordant, and the other objective of the paper will be to continue to investigate the recently new introduced $(alpha, beta)$-metric ([17]):\u0000 $$\u0000 F(alpha,beta)=frac{beta^{2}}{alpha}+beta+a alpha\u0000 $$\u0000 where $alpha=sqrt{a_{ij}y^{i}y^{j}}$ is a Riemannian metric; $beta=b_{i}y^{i}$ is a 1-form, and $ain left(frac{1}{4},+inftyright)$ is a real positive scalar. This kind of metric can be expressed as follows: $F(alpha,beta)=alphacdot phi(s)$, where $phi(s)=s^{2}+s+a$.\u0000 In this paper we will study some important results in respect with the above mentioned $(alpha, beta)$-metric such as: the Kropina change for this metric, the Main Scalar for this metric and also we will analyze how the condition to be self-concordant and k-self-concordant for the function $phi(s)$, can be linked with the condition for the metric $F$ to be of Douglas type.\u0000\u0000self-concordant functions, Kropina change, main scalar.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44185088","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信