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- W111020006 abstract "Recently we studied a certain second order difierential equation which leads to the deflnition of some coordinate systems on Finsler man- ifolds. Here we consider two kinds of these coordinate systems and study connection dependence efiect. More precisely we prove that the existence of such a coordinate system on a Finsler manifold endowed with a Berwald connection, reduces the Finsler structure to a locally Minkowskian one. Next, in the case of Cartan connection it is proved that existence of an spe- cial case of this coordinate system implies that the underlying Finsler man- ifold be isometric into sphere. Meanwhile some results on totally geodesic and umbilical hypersurfaces are obtained." @default.
- W111020006 created "2016-06-24" @default.
- W111020006 creator A5042261493 @default.
- W111020006 date "2009-01-01" @default.
- W111020006 modified "2023-09-22" @default.
- W111020006 title "Complete Finsler manifolds and adapted coordinates" @default.
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