Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606110 | Differential Geometry and its Applications | 2014 | 10 Pages |
Abstract
In this work, it is proved that if a complete Finsler manifold of positive constant Ricci curvature admits a solution to a certain ODE, then it is homeomorphic to the n-sphere. Next, a geometric meaning is obtained for solutions of this ODE, which is applicable to Einstein–Randers spaces. Moreover, some results on Finsler spaces admitting a special conformal vector field are obtained.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
B. Bidabad, P. Joharinad,