Geodesic
On totally umbilical submanifolds of Finsler spaces
Qun He1 ; Wei Yang1 ; Wei Zhao1
1Department of Mathematics Tongji University 200092 Shanghai, China
Annales Polonici Mathematici, Tome 100 (2011) no. 2, pp. 147-157
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap100-2-4
Keywords: notion totally umbilical submanifold finsler manifold introduced gauss equations given results totally umbilical submanifolds riemannian manifolds generalized totally umbilical submanifolds randers spaces studied rigidity theorem example given

Qun He  1   ; Wei Yang  1   ; Wei Zhao  1

1 Department of Mathematics Tongji University 200092 Shanghai, China 
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Qun He; Wei Yang; Wei Zhao. On totally umbilical submanifolds of Finsler spaces. Annales Polonici Mathematici, Tome 100 (2011) no. 2, pp. 147-157. doi: 10.4064/ap100-2-4

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