Complete hypersurfaces with two distinct principal curvatures in a locally symmetric Riemannian manifold-Reference-Cited by-同舟云学术

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Complete hypersurfaces with two distinct principal curvatures in a locally symmetric Riemannian manifold

Published:2016-03 Issue: Volume:133 Page:15-27
ISSN:0362-546X
Container-title:Nonlinear Analysis
language:en
Short-container-title:Nonlinear Analysis

Author:

Gomes José N.,de Lima Henrique F.,dos Santos Fábio R.,Velásquez Marco Antonio L.

Funder

PRONEX/CNPq/FAPEAM, Brazil

CNPq, Brazil

CAPES, Brazil

CAPES/CNPq, Brazil

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference15 articles.

1. Hypersurfaces with constant mean curvature and two principal curvatures in Sn+1;Alías;An. Acad. Brasil. Ciênc.,2004

2. A new characterization of complete linear Weingarten hypersurfaces in real space forms;Aquino;Pacific J. Math.,2013

3. Generalized maximum principles and the characterization of linear Weingarten hypersurfaces in space forms;Aquino;Michigan Math. J.,2014

4. The rigidity of Clifford torus S1(1n)×Sn−1(n−1n);Cheng;Comment. Math. Helv.,1996

5. Hypersurfaces with constant scalar curvature;Cheng;Math. Ann.,1977

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1. Revisiting linear Weingarten hypersurfaces immersed into a locally symmetric Riemannian manifold;European Journal of Mathematics;2021-05-03

2. A gap theorem for constant scalar curvature hypersurfaces;Collectanea Mathematica;2020-11-26

3. Complete spacelike submanifolds in a locally symmetric semi-Riemannian space;International Journal of Mathematics;2020-03-12

4. Sharp eigenvalue estimates of closed $H$-hypersurfaces in locally symmetric spaces;Czechoslovak Mathematical Journal;2019-03-28

5. Scalar curvature estimates of constant mean curvature hypersurfaces in locally symmetric spaces;São Paulo Journal of Mathematical Sciences;2018-11-27

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