Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614968 | Journal of Mathematical Analysis and Applications | 2015 | 16 Pages |
Abstract
Under suitable restrictions on the higher order mean curvatures, we establish uniqueness results for entire graphs in a warped product space satisfying a standard convergence condition. Consequences are given for such graphs to be slices by using comparison inequalities of their higher order mean curvatures. Applications to the study of the rigidity of minimal and radial graphs in the Euclidean space are also given.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Luis J. Alías, A. Gervasio Colares, Henrique F. de Lima,