Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606160 | Differential Geometry and its Applications | 2013 | 8 Pages |
Abstract
Here, it is shown that every vector field on a Finsler space which keeps geodesic circles invariant is conformal. A necessary and sufficient condition for a vector field to keep geodesic circles invariant, known as concircular vector fields, is obtained. This leads to a significant definition of concircular vector fields on a Finsler space. Finally, complete Finsler spaces admitting a special conformal vector field are classified.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
P. Joharinad, B. Bidabad,