On totally umbilical submanifolds of Finsler spaces
Volume 100 / 2011
Annales Polonici Mathematici 100 (2011), 147-157
MSC: Primary 53C60; Secondary 53C40.
DOI: 10.4064/ap100-2-4
Abstract
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.
