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On totally umbilical submanifolds of Finsler spaces

100%

He Q., Yang W., Zhao W.

Annales Polonici Mathematici

2011

tom 100

nr 2

147-157

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.

Minimal submanifolds in general (α,β)-spaces

100%

Yin S., He Q., Xie D.

Annales Polonici Mathematici

2013

tom 108

nr 1

43-59

The volume forms of general (α,β)-metrics are studied. Some equations for minimal submanifolds in general (α,β)-spaces are established by using the normal frame field, and some minimal surfaces in general (α,β)-spaces with special curvature properties are constructed.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 He Q.

1 Xie D.

1 Yang W.

1 Yin S.

1 Zhao W.

1 2013

1 2011

Wyniki wyszukiwania

On totally umbilical submanifolds of Finsler spaces

Minimal submanifolds in general (α,β)-spaces