Translator Disclaimer
March 2018 Linear Weingarten spacelike hypersurfaces in Lorentz space forms with prescribed Gauss map
Xiaoli Chao, Yusha Lv
Kodai Math. J. 41(1): 98-114 (March 2018). DOI: 10.2996/kmj/1521424826

Abstract

This paper address the geometry of complete linear Weingarten spacelike hypersurfaces in the Lorentz space forms. First, a divergence lemma concerning linear Weingarten spacelike hypersurfaces is obtained. Then, with the aid of this lemma, by supposing suitable restrictions on the Gauss map, we show that such hypersurfaces must be totally umbilical, which are some extension of the recent results of Aquino, Bezerra and Lima [7] and Aquino, Lima and Velásquez [11].

Citation

Download Citation

Xiaoli Chao. Yusha Lv. "Linear Weingarten spacelike hypersurfaces in Lorentz space forms with prescribed Gauss map." Kodai Math. J. 41 (1) 98 - 114, March 2018. https://doi.org/10.2996/kmj/1521424826

Information

Published: March 2018
First available in Project Euclid: 19 March 2018

zbMATH: 06912403
MathSciNet: MR3777389
Digital Object Identifier: 10.2996/kmj/1521424826

Rights: Copyright © 2018 Tokyo Institute of Technology, Department of Mathematics

JOURNAL ARTICLE
17 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.41 • No. 1 • March 2018
Back to Top