On totally umbilical submanifolds of Finsler spaces
Qun He ; Wei Yang ; Wei Zhao
Annales Polonici Mathematici, Tome 101 (2011), p. 147-157 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:281034 
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Qun He; Wei Yang; Wei Zhao. On totally umbilical submanifolds of Finsler spaces. Annales Polonici Mathematici, Tome 101 (2011) pp. 147-157. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap100-2-4/