Uniqueness of entire graphs in Riemannian warped products

Junhong DONG; Ximin LIU

Makale detayları

Uniqueness of entire graphs in Riemannian warped products

Yazarlar:

Junhong DONG | Ximin LIU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 6, pp.1246-1257

Belge Tipi:

Makale

Yayın Tarihi:

11/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746106

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

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.

Makale detayları

Uniqueness of entire graphs in Riemannian warped products

Yazarlar: Junhong DONG | Ximin LIU

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 6, pp.1246-1257

Belge Tipi: Makale

Yayın Tarihi: 11/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746106

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Junhong DONG | Ximin LIU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 6, pp.1246-1257

Belge Tipi:

Makale

Yayın Tarihi:

11/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746106

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098