On totally umbilical submanifolds of Finsler spaces

• Autorzy: Qun He , Wei Yang , Wei Zhao
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53C60: Finsler spaces and generalizations (areal metrics)
• 53C40: Global submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 100
• Numer: 2
• Strony: 147-157

Daty

wydano

2011

Twórcy

autor

Qun He

• Department of Mathematics, Tongji University, 200092 Shanghai, China

autor

Wei Yang

• Department of Mathematics, Tongji University, 200092 Shanghai, China

autor

Wei Zhao

• Department of Mathematics, Tongji University, 200092 Shanghai, China

Identyfikatory

DOI

10.4064/ap100-2-4