Differential Geometry and its Applications最新文献_第7页

Prolongations, invariants, and fundamental identities of geometric structures 几何结构的延长线、不变式和基本同素异形体

IF 0.5 4区数学

Differential Geometry and its Applications Pub Date : 2024-01-16 DOI: 10.1016/j.difgeo.2023.102107

Jaehyun Hong , Tohru Morimoto

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引用次数: 0

Traveling along horizontal broken geodesics of a homogeneous Finsler submersion 沿均质芬斯勒淹没的水平断裂大地线行进

IF 0.5 4区数学

Differential Geometry and its Applications Pub Date : 2024-01-15 DOI: 10.1016/j.difgeo.2023.102106

Marcos M. Alexandrino, Fernando M. Escobosa, Marcelo K. Inagaki

{"title":"Traveling along horizontal broken geodesics of a homogeneous Finsler submersion","authors":"Marcos M. Alexandrino, Fernando M. Escobosa, Marcelo K. Inagaki","doi":"10.1016/j.difgeo.2023.102106","DOIUrl":"https://doi.org/10.1016/j.difgeo.2023.102106","url":null,"abstract":"<div>In this paper, we discuss how to travel along horizontal broken geodesics of a homogeneous Finsler submersion, i.e., we study, what in Riemannian geometry was called by Wilking, the dual leaves. More precisely, we investigate the attainable sets <math><msub><mrow><mi>A</mi></mrow><mrow><mi>q</mi></mrow></msub><mo>(</mo><mi>C</mi><mo>)</mo></math> of the set of analytic vector fields <math><mi>C</mi></math> determined by the family of horizontal unit geodesic vector fields <math><mi>C</mi></math> to the fibers <math><mi>F</mi><mo>=</mo><mo>{</mo><msup><mrow><mi>ρ</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup><mo>(</mo><mi>c</mi><mo>)</mo><mo>}</mo></math> of a homogeneous analytic Finsler submersion <math><mi>ρ</mi><mo>:</mo><mi>M</mi><mo>→</mo><mi>B</mi></math>. Since reverse of geodesics don't need to be geodesics in Finsler geometry, one can have examples on non compact Finsler manifolds M where the attainable sets (the dual leaves) are no longer orbits or even submanifolds. Nevertheless we prove that, when M is compact and the orbits of <math><mi>C</mi></math> are embedded, then the attainable sets coincide with the orbits. Furthermore, if the flag curvature is positive then M coincides with the attainable set of each point. In other words, fixed two points of M, one can travel from one point to the other along horizontal broken geodesics.In addition, we show that each orbit <math><mi>O</mi><mo>(</mo><mi>q</mi><mo>)</mo></math> of <math><mi>C</mi></math> associated to a singular Finsler foliation coincides with M, when the flag curvature is positive, i.e., we prove Wilking's result in Finsler context. In particular we review Wilking's transversal Jacobi fields in Finsler case.</div>","PeriodicalId":51010,"journal":{"name":"Differential Geometry and its Applications","volume":"93 ","pages":"Article 102106"},"PeriodicalIF":0.5,"publicationDate":"2024-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139467784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A normal line congruence and minimal ruled Lagrangian submanifolds in CPn CPn 中的法线全等和最小规则拉格朗日子平面

IF 0.5 4区数学

Differential Geometry and its Applications Pub Date : 2024-01-09 DOI: 10.1016/j.difgeo.2023.102099

Jong Taek Cho , Makoto Kimura

引用次数: 0

Antipodal sets of pseudo-Riemannian symmetric R-spaces 伪黎曼对称 R 空间的对偶集

IF 0.5 4区数学

Differential Geometry and its Applications Pub Date : 2024-01-08 DOI: 10.1016/j.difgeo.2023.102104

Kyoji Sugimoto

引用次数: 0

On the prescribed fractional Q-curvatures problem on Sn under pinching conditions 关于捏合条件下 Sn 上的规定分数 Q 曲线问题

IF 0.5 4区数学

Differential Geometry and its Applications Pub Date : 2024-01-03 DOI: 10.1016/j.difgeo.2023.102103

Zhongwei Tang , Ning Zhou

引用次数: 0

When are shrinking gradient Ricci soliton compact 什么时候收缩梯度利玛窦孤子是紧凑的？

IF 0.5 4区数学

Differential Geometry and its Applications Pub Date : 2024-01-02 DOI: 10.1016/j.difgeo.2023.102102

Yuanyuan Qu, Guoqiang Wu

引用次数: 0

Morse-Novikov cohomology on foliated manifolds 叶状流形上的莫尔斯-诺维科夫同调

IF 0.5 4区数学

Differential Geometry and its Applications Pub Date : 2023-12-22 DOI: 10.1016/j.difgeo.2023.102100

Md. Shariful Islam

引用次数: 0

The energy density of biharmonic quadratic maps between spheres 球间双谐波二次映射的能量密度

IF 0.5 4区数学

Differential Geometry and its Applications Pub Date : 2023-12-21 DOI: 10.1016/j.difgeo.2023.102096

Rareş Ambrosie, Cezar Oniciuc

引用次数: 0

Bifurcations of robust features on surfaces in the Minkowski 3-space 闵科夫斯基三维空间曲面上稳健特征的分岔

IF 0.5 4区数学

Differential Geometry and its Applications Pub Date : 2023-12-21 DOI: 10.1016/j.difgeo.2023.102097

Marco Antônio do Couto Fernandes

引用次数: 0

Vortex-type equations on compact Riemann surfaces 紧凑黎曼曲面上的涡旋型方程

IF 0.5 4区数学

Differential Geometry and its Applications Pub Date : 2023-12-19 DOI: 10.1016/j.difgeo.2023.102098

Kartick Ghosh

引用次数: 0