Minimal submanifolds in general (α,β)-spaces

Songting Yin; Qun He; Dinghe Xie

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On totally umbilical submanifolds of Finsler spaces

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The notion of a totally umbilical submanifold of a Finsler manifold is introduced. Some Gauss equations are given and some results on totally umbilical submanifolds of Riemannian manifolds are generalized. Totally umbilical submanifolds of Randers spaces are studied; a rigidity theorem and an example are given.