Email this article Spacelike submanifolds with parallel mean curvature vector in Sqn+p(1)
- Authors: Yang D.1, Li L.2
-
Affiliations:
- School of Mathematics
- College of Mathematics and Computational Science
- Issue: Vol 100, No 1-2 (2016)
- Pages: 298-308
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149659
- DOI: https://doi.org/10.1134/S0001434616070257
- ID: 149659
Cite item
Open Access
Access granted
Subscription Access
Abstract
Let Mn be a complete spacelike submanifold in an indefinite space form Sqn+p(1). When p = q, there are numerous rigidity results concerning submanifolds with parallel mean curvature vector. However, there are few results concerning the case q < p. In this paper, we will focus on this kind of submanifold and give some classifications of submanifolds with parallel mean curvature vector according to the squared norm of the second fundamental form.
About the authors
D. Yang
School of Mathematics
Author for correspondence.
Email: dlutyangdan@126.com
China, Shenyang
L. Li
College of Mathematics and Computational Science
Email: dlutyangdan@126.com
China, Shenzhen
Supplementary files
