Uniqueness of entire graphs in Riemannian warped products

Junhong DONG; Ximin LIU

Article Details

Uniqueness of entire graphs in Riemannian warped products

Authors:

Junhong DONG | Ximin LIU

Publisher:

TUBITAK

Journal:

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

Document Type:

Article

Publication Date:

11/2016

Document Language:

Turkish

Document ID (Org No.):

2000746106

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Abstract:

 

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.

Article Details

Uniqueness of entire graphs in Riemannian warped products

Authors: Junhong DONG | Ximin LIU

Publisher: TUBITAK

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

Document Type: Article

Publication Date: 11/2016

Document Language: Turkish

Document ID (Org No.): 2000746106

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Issues

Authors:

Junhong DONG | Ximin LIU

Publisher:

TUBITAK

Journal:

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

Document Type:

Article

Publication Date:

11/2016

Document Language:

Turkish

Document ID (Org No.):

2000746106

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098