Characterizations of complete linear Weingarten spacelike submanifolds in a locally symmetric semi-Riemannian manifold

DSpace/Manakin Repository

español português english

Characterizations of complete linear Weingarten spacelike submanifolds in a locally symmetric semi-Riemannian manifold

Show full item record

Title: Characterizations of complete linear Weingarten spacelike submanifolds in a locally symmetric semi-Riemannian manifold
Author: Araújo, Jogli G.; Lima, Henrique F. de; Santos, Fábio R. dos; Velásquez, Marco Antonio L.
Abstract: In this paper, we deal with n-dimensional complete spacelike submanifolds Mn with flat normal bundle and parallel normalized mean curvature vector immersed in an (n + p)-dimensional locally symmetric semi-Riemannian manifold L_p^(n+p) of index p obeying some standard curvature conditions which are naturally satisfied when the ambient space is a semi-Riemannian space form. In this setting, we establish sufficient conditions to guarantee that, in fact, p = 1 and Mⁿ is isometric to an isoparametric hypersurface of L_1^(n+1)having two distinct principal curvatures, one of which is simple.
URI: http://hdl.handle.net/10662/8948
Date: 2017


Files in this item

Files Size Format View
2605-5686_32_1_55.pdf 158.4Kb PDF View  Thumbnail

The following license files are associated with this item:

This item appears in the following Collection(s)

Show full item record

Attribution-NonCommercial 4.0 International Except where otherwise noted, this item's license is described as Attribution-NonCommercial 4.0 International

Search DSpace


Browse

My Account

Statistics

Help

Redes sociales