Uniqueness of entire graphs in Riemannian warped products | Zendy

Junhong Dong | Zendy; Ximin Liu | Zendy

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Uniqueness of entire graphs in Riemannian warped products

Author(s) -

Junhong Dong,

Ximin Liu

Publication year - 2016

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1510-2

Subject(s) - mathematics , uniqueness , image warping , monotone polygon , product (mathematics) , pure mathematics , mathematical analysis , product topology , space (punctuation) , function (biology) , sign (mathematics) , graph , discrete mathematics , geometry , computer science , artificial intelligence , evolutionary biology , biology , operating system

In this paper, by applying the generalized Omori–Yau maximum principle for complete spacelike hypersurfaces in warped product spaces, we obtain the sign relationship between the derivative of warping function and support function. Afterwards, by using this result and imposing suitable restrictions on the higher order mean curvatures, we establish uniqueness results for the entire graph in a Riemannian warped product space, which has a strictly monotone warping function. Furthermore, applications to such a space are given.

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