On the existence of homogeneous geodesic in homogeneous Finsler spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2017.10.005
Abstract: Abstract A connected Finsler space ( M , F ) is said to be homogeneous if it admits a transitive connected Lie group G of isometries. A geodesic in a homogeneous Finsler space is called… read more here.
Keywords: geodesic homogeneous; homogeneous finsler; finsler; finsler space ... See more keywords
Homogeneous Finsler spaces with exponential metric
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Geometry"
DOI: 10.1515/advgeom-2020-0008
Abstract: Abstract We prove the existence of an invariant vector field on a homogeneous Finsler space with exponential metric, and we derive an explicit formula for the S-curvature of a homogeneous Finsler space with exponential metric.… read more here.
Keywords: spaces exponential; finsler spaces; homogeneous finsler; exponential metric ... See more keywords
Homogeneous Finsler spaces and the flag-wise positively curved condition
Sign Up to like & getrecommendations! Published in 2018 at "Forum Mathematicum"
DOI: 10.1515/forum-2018-0130
Abstract: In this paper, we introduce the flag-wise positively curved condition for Finsler spaces (the (FP) condition), which means that in each tangent plane, there exists a flag pole in this plane such that the corresponding… read more here.
Keywords: wise positively; homogeneous finsler; condition; finsler ... See more keywords