Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417670 | Journal of Mathematical Analysis and Applications | 2016 | 15 Pages |
Abstract
Through the study of the so-called linear Weingarten spacelike submanifolds immersed with parallel normalized mean curvature vector in a semi-Riemannian space form Qpn+p(c) of index p and constant sectional curvature câ{â1,0,1}, our aim in this paper is establish new characterizations for the hyperbolic cylinders of Qpn+p(c). Our approach is based on the use of a Simons type formula related to an appropriated Cheng-Yau modified operator jointly with the application of suitable generalized maximum principles.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Henrique F. de Lima, Fábio R. dos Santos, Marco Antonio L. Velásquez,