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International Electronic Journal of Geometry最新文献

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Professor Krishan L. Duggal: A Biographical Note Krishan L.Duggal教授：传记
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-03-01 DOI: 10.36890/iejg.1253398
R. Sharma, B. Şahin
{"title":"Professor Krishan L. Duggal: A Biographical Note","authors":"R. Sharma, B. Şahin","doi":"10.36890/iejg.1253398","DOIUrl":"https://doi.org/10.36890/iejg.1253398","url":null,"abstract":"In this note, we present a biographical sketch of the life and academic contributions of late Professor Krishan L. Duggal. His contributions span from Riemannian and Lorentzian geometries of manifolds with various structural groups of the tangent bundle, Lightlike curves and submanifolds, Cauchy-Riemann geometry, Symmetries of semi-Riemannian manifolds, to Killing horizons. In particular, his approach to the study of lightlike submanifolds is remarkable and drawn considerable interest of many geometers.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46210897","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
A Note on Some Generalized Curvature Tensor 关于某些广义曲率张量的一个注记
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-02-19 DOI: 10.36890/iejg.1273631
R. Deszcz, M. Glogowska, Marian Hotlo's, Miroslava Petrovi'c-Torgavsev, G. Zafindratafa
{"title":"A Note on Some Generalized Curvature Tensor","authors":"R. Deszcz, M. Glogowska, Marian Hotlo's, Miroslava Petrovi'c-Torgavsev, G. Zafindratafa","doi":"10.36890/iejg.1273631","DOIUrl":"https://doi.org/10.36890/iejg.1273631","url":null,"abstract":"For any semi-Riemannian manifold (M, g) we define some generalized curvature tensor E as a linear combination of Kulkarni-Nomizu products formed by the metric tensor, the Ricci tensor and its square of given manifold. That tensor is closely related to quasi-Einstein spaces, Roter spaces and some Roter type spaces.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47786086","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: 6
Clairaut pointwise slant submersion from locally product Riemannian manifolds 局域积黎曼流形的Clairaut点斜浸没
IF 0.7
International Electronic Journal of Geometry Pub Date : 2023-02-15 DOI: 10.36890/iejg.1108703
Murat Polat
{"title":"Clairaut pointwise slant submersion from locally product Riemannian manifolds","authors":"Murat Polat","doi":"10.36890/iejg.1108703","DOIUrl":"https://doi.org/10.36890/iejg.1108703","url":null,"abstract":"The goal of the present paper is to analyze some geometric features of Clairaut pointwise slant submersions whose total manifold is a locally product Riemannian manifold. We describe Clairaut pointwise slant submersions from locally product Riemannian manifold onto a Riemannian manifold. We study pointwise slant submersions by providing a consequent which defines the geodesics on the total space of this type submersions. We also give a non-trivial example of the Clairaut pointwise slant submersions whose total manifolds are locally product Riemannian.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49225571","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
Proper Semi-Slant Pseudo-Riemannian Submersions in Para-Kaehler Geometry Para-Kaehler几何中的适当半倾斜伪黎曼淹没
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-10-30 DOI: 10.36890/iejg.1033345
Esra BAŞARIR NOYAN, Yılmaz Gündüzalp
{"title":"Proper Semi-Slant Pseudo-Riemannian Submersions in Para-Kaehler Geometry","authors":"Esra BAŞARIR NOYAN, Yılmaz Gündüzalp","doi":"10.36890/iejg.1033345","DOIUrl":"https://doi.org/10.36890/iejg.1033345","url":null,"abstract":"In this paper, we examine the proper semi-slant pseudo-Riemannian submersions in para-Kaehler geometry and prove some fundamental results on such submersions. In particular we obtain curvature relations in para-Kaehler space forms. Moreover, we provide examples of proper semi-slant pseudo-Riemannian submersions.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42076080","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
m-quasi Einstein Metric and Paracontact Geometry m-拟爱因斯坦度量与准接触几何
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-10-30 DOI: 10.36890/iejg.1100147
K. De, U. De, F. Mofarreh
{"title":"m-quasi Einstein Metric and Paracontact Geometry","authors":"K. De, U. De, F. Mofarreh","doi":"10.36890/iejg.1100147","DOIUrl":"https://doi.org/10.36890/iejg.1100147","url":null,"abstract":"The object of the upcoming article is to characterize paracontact metric manifolds conceding $m$-quasi Einstein metric. First we establish that if the metric $g$ in a $K$-paracontact manifold is the $m$-quasi Einstein metric, then the manifold is of constant scalar curvature. Furthermore, we classify $(k,mu)$-paracontact metric manifolds whose metric is $m$-quasi Einstein metric. Finally, we construct a non-trivial example of such a manifold.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47504431","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
All Dehn Fillings of the Whitehead Link Complement are Tetrahedron Manifolds Whitehead链补的所有Dehn填充都是四面体流形
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-10-30 DOI: 10.36890/iejg.1102753
A. Cavicchioli, F. Spaggiari
{"title":"All Dehn Fillings of the Whitehead Link Complement are Tetrahedron Manifolds","authors":"A. Cavicchioli, F. Spaggiari","doi":"10.36890/iejg.1102753","DOIUrl":"https://doi.org/10.36890/iejg.1102753","url":null,"abstract":"In this paper we show that Dehn surgeries on the oriented components of the Whitehead link yield tetrahedron manifolds of Heegaard genus $le 2$. As a consequence, the eight homogeneous Thurston 3-geometries are realized by tetrahedron manifolds of Heegaard genus $le 2$. The proof is based on techniques of Combinatorial Group Theory, and geometric presentations of manifold fundamental groups.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47734161","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
Hyperbolic Number Forms of Euler-Savary Equation 欧拉-萨瓦里方程的双曲数形式
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-10-30 DOI: 10.36890/iejg.1127959
Duygu Çağlar, N. Gürses
{"title":"Hyperbolic Number Forms of Euler-Savary Equation","authors":"Duygu Çağlar, N. Gürses","doi":"10.36890/iejg.1127959","DOIUrl":"https://doi.org/10.36890/iejg.1127959","url":null,"abstract":"This study deals with hyperbolic number forms of Euler-Savary Equation (ESE) to find either the four special points on the pole ray. While obtaining the hyperbolic ESE forms, one-parameter planar motion is considered according to the osculating circles contacting at three infinitesimally close points. This approach with the hyperbolic number method gives more detailed information than the traditional method. As a final part, examples are given to show the utility of the practical way in the application.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43425426","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
Complete systems of Galileo invariants of a motion of parametric figure in the three dimensional Euclidean space 三维欧氏空间中参数图形运动的伽利略不变量的完备系统
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-10-28 DOI: 10.36890/iejg.1091348
D. Khadjiev, İdris Ören, Gayrat Beshimov
{"title":"Complete systems of Galileo invariants of a motion of parametric figure in the three dimensional Euclidean space","authors":"D. Khadjiev, İdris Ören, Gayrat Beshimov","doi":"10.36890/iejg.1091348","DOIUrl":"https://doi.org/10.36890/iejg.1091348","url":null,"abstract":"Let E_{3} be the 3-dimensional Euclidean space and S be a set such that it has at least two elements. A definition of an S-parametric figure in E_{3} and a definition of a motion of an S-parametric figure in E_{3} are given. Complete systems of G-invariants of a parametric figure in E_{3} for fundamental groups of transformations of E_{3} have obtained. A complete system of G-invariants of a motion of a parametric figure in E_{3} for the Galileo groups Gal_{1}(3,R), Gal^{+}_{1}(3,R) of transformations of E_{3} have obtained.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46161081","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
DETERMINE WHEN A PARAMETRIC SURFACE IS A SURFACE OF REVOLUTION 确定参数化曲面何时为旋转曲面
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-10-19 DOI: 10.36890/iejg.1064089
Haohao Wang, Jerzy Wojdylo
{"title":"DETERMINE WHEN A PARAMETRIC SURFACE IS A SURFACE OF REVOLUTION","authors":"Haohao Wang, Jerzy Wojdylo","doi":"10.36890/iejg.1064089","DOIUrl":"https://doi.org/10.36890/iejg.1064089","url":null,"abstract":"A surface of revolution is a surface that can be generated by rotating a planar curve (the directrix)\u0000around a straight line (the axis) in the same plane. Using the mathematics of quaternions, we provide a parametric\u0000equation of a surface of revolution generated by rotating a directrix about an axis by quaternion multiplication\u0000of the parametric representations of the directrix curve and the line of axis. Then, we describe an algorithm\u0000to determine whether a parametric surface is a surface of revolution, and identify the axis and the directrix.\u0000Examples are provided to illustrate our algorithm.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47077991","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
Quadrilaterals as Geometric Loci 作为几何轨迹的四边形
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-10-18 DOI: 10.36890/iejg.1062741
L. Halbeisen, N. Hungerbühler, Juan Läuchli
{"title":"Quadrilaterals as Geometric Loci","authors":"L. Halbeisen, N. Hungerbühler, Juan Läuchli","doi":"10.36890/iejg.1062741","DOIUrl":"https://doi.org/10.36890/iejg.1062741","url":null,"abstract":"We give necessary and sufficient conditions, both algebraic and geometric, for a quadrilateral to be the level set of the sum of the distances to m ≥ 2 different lines.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44084463","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
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