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International Electronic Journal of Geometry最新文献

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Existence and Nonexistence of Warped Product Submanifolds of Almost Contact Manifolds 几乎接触流形的弯曲积子流形的存在性与不存在性
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-05-18 DOI: 10.36890/iejg.1131334
Abdulqader Mustafa, C. Ozel, A. Pigazzini, R. Pinčák
{"title":"Existence and Nonexistence of Warped Product Submanifolds of Almost Contact Manifolds","authors":"Abdulqader Mustafa, C. Ozel, A. Pigazzini, R. Pinčák","doi":"10.36890/iejg.1131334","DOIUrl":"https://doi.org/10.36890/iejg.1131334","url":null,"abstract":"This paper has two goals; the first is to generalize results for the existence and nonexistence of warped product submanifolds of almost contact manifolds, accordingly a self-contained reference of such submanifolds is offered to save efforts of potential research. Most of the results of this paper are general and decisive enough to generalize both known and new results. Moreover, a discrete example of contact $CR$-warped product submanifold in Kenmotsu manifold is constructed. For further research direction, we addressed a couple of open problems arose from the results of this paper.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44378488","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 Z-Symmetric Manifold Admitting Projective Curvature Tensor 关于Z对称流形容许投影曲率张量
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-04-30 DOI: 10.36890/iejg.986956
Ayşe Yavuz Taşci, Füsun Özen
{"title":"On Z-Symmetric Manifold Admitting Projective Curvature Tensor","authors":"Ayşe Yavuz Taşci, Füsun Özen","doi":"10.36890/iejg.986956","DOIUrl":"https://doi.org/10.36890/iejg.986956","url":null,"abstract":"<jats:p xml:lang=\"tr\" />","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46427443","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
IFHP Transformations on the Tangent Bundle with the Deformed Complete Lift Metric 具有变形完全升力度量的切线束上的IFHP变换
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-04-29 DOI: 10.36890/iejg.1037651
M. Zohrehvand
{"title":"IFHP Transformations on the Tangent Bundle with the Deformed Complete Lift Metric","authors":"M. Zohrehvand","doi":"10.36890/iejg.1037651","DOIUrl":"https://doi.org/10.36890/iejg.1037651","url":null,"abstract":"Let ( M n , g ) be a Riemannian manifold and TM n the total space of its tangent bundle. In this paper, we determine the infinitesimal fiber-preserving holomorphically projective (IFHP) transformations on TM n with respect to the Levi-Civita connection of the deformed complete lift metric ˜ G f = g C + ( fg ) V , where f is a nonzero differentiable function on M n and g C and g V are the complete lift and the vertical lift of g on TM n , respectively. Morevore, we prove that every IFHP transformation on ( TM n , ˜ G f ) is reduced to an affine and induces an infinitesimal affine transformation on ( M n , g ) .","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49065677","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
Family of Surfaces 曲面族
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-04-29 DOI: 10.36890/iejg.932757
S. Şenyurt, K. H. Ayvaci, Davut Canlı
{"title":"Family of Surfaces","authors":"S. Şenyurt, K. H. Ayvaci, Davut Canlı","doi":"10.36890/iejg.932757","DOIUrl":"https://doi.org/10.36890/iejg.932757","url":null,"abstract":"","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41868592","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
Notes About a harmonicity on the tangent bundle with vertical rescaled metric 关于垂直度规重标的切线束上的谐波
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-04-26 DOI: 10.36890/iejg.1033998
A. Zagane, N. Djaa
{"title":"Notes About a harmonicity on the tangent bundle with vertical rescaled metric","authors":"A. Zagane, N. Djaa","doi":"10.36890/iejg.1033998","DOIUrl":"https://doi.org/10.36890/iejg.1033998","url":null,"abstract":"In this article, we present some results concerning the harmonicity on the tangent bundle equipped with the vertical rescaled metric. We establish necessary and sufficient conditions under which a vector field is harmonic with respect to the vertical rescaled metric and we construct some examples of harmonic vector fields. We also study the harmonicity of a vector field along with a map between Riemannian manifolds, the target manifold is equipped with a vertical rescaled metric on its tangent bundle. Next we also discuss the harmonicity of the composition of the projection map of the tangent bundle of a Riemannian manifold with a map from this manifold into another Riemannian manifold, the source manifold being whose tangent bundle is endowed with a vertical rescaled metric. Finally, we study the harmonicity of the tangent map also the harmonicity of the identity map of the tangent bundle.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47027648","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
Quasi Bi-Slant Submanifolds of Kaehler Manifolds Kaehler流形的拟双斜子流形
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-04-18 DOI: 10.36890/iejg.1061786
R. Prasad, M. Akyol, S. Verma, Sumeet Kumar
{"title":"Quasi Bi-Slant Submanifolds of Kaehler Manifolds","authors":"R. Prasad, M. Akyol, S. Verma, Sumeet Kumar","doi":"10.36890/iejg.1061786","DOIUrl":"https://doi.org/10.36890/iejg.1061786","url":null,"abstract":"","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48993248","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: 2
Characterizations of Loxodromes on Rotational Surfaces in Euclidean 3-Space 欧几里得三维空间旋转表面上Loxodromes的表征
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-04-12 DOI: 10.36890/iejg.1161830
Ferdağ Kahraman Aksoyak, Burcu Bektaş Demirci, Murat Babaarslan
{"title":"Characterizations of Loxodromes on Rotational Surfaces in Euclidean 3-Space","authors":"Ferdağ Kahraman Aksoyak, Burcu Bektaş Demirci, Murat Babaarslan","doi":"10.36890/iejg.1161830","DOIUrl":"https://doi.org/10.36890/iejg.1161830","url":null,"abstract":"In this paper, we study on the characterizations of loxodromes on the rotational surfaces satisfying some special geometric properties such as having constant Gaussian curvature and a constant ratio of principal curvatures (CRPC rotational surfaces). \u0000First, we give the parametrizations of loxodromes parametrized by arc-length parameter on any rotational surfaces in $mathbb{E}^{3}$ \u0000and then, we calculate the curvature and the torsion of such loxodromes. \u0000Then, we give the parametrizations of loxodromes on rotational surfaces with constant Gaussian curvature. \u0000Also, we investigate the loxodromes on the CRPC rotational surfaces. \u0000Moreover, we give the parametrizations of loxodromes on the minimal rotational surface which is a special case of CRPC rotational surfaces. \u0000Finally, we give some visual examples to strengthen our main results via Wolfram Mathematica.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48962636","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
Special Mean and Total Curvature of a Dual Surface in Isotropic Spaces 各向同性空间中对偶曲面的特殊平均值和总曲率
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-04-12 DOI: 10.36890/iejg.972370
A. Artykbaev, Sherzodbek Ismoi̇lov
{"title":"Special Mean and Total Curvature of a Dual Surface in Isotropic Spaces","authors":"A. Artykbaev, Sherzodbek Ismoi̇lov","doi":"10.36890/iejg.972370","DOIUrl":"https://doi.org/10.36890/iejg.972370","url":null,"abstract":"","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42979268","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
Finslerian viewpoint to the rectifying, normal, and osculating curves 芬斯勒对校正曲线、法向曲线和密切曲线的观点
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-04-12 DOI: 10.36890/iejg.993188
Z. Ozdemir, Fatma Ateş, N. Ekmekci
{"title":"Finslerian viewpoint to the rectifying, normal, and osculating curves","authors":"Z. Ozdemir, Fatma Ateş, N. Ekmekci","doi":"10.36890/iejg.993188","DOIUrl":"https://doi.org/10.36890/iejg.993188","url":null,"abstract":"","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42906358","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
Null Rulings in Lorentz-Minkowski 3-Space Lorentz-Minkowski三维空间中的无效规则
IF 0.7
International Electronic Journal of Geometry Pub Date : 2022-03-09 DOI: 10.36890/iejg.1064158
Erhan Güler
{"title":"Null Rulings in Lorentz-Minkowski 3-Space","authors":"Erhan Güler","doi":"10.36890/iejg.1064158","DOIUrl":"https://doi.org/10.36890/iejg.1064158","url":null,"abstract":"","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45312619","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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