Shape operators of Einstein hypersurfaces in indefinite space forms-Reference-Cited by-同舟云学术

Shape operators of Einstein hypersurfaces in indefinite space forms

Published:1982 Issue:2 Volume:84 Page:237-242
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Magid Martin A.

Abstract

The possible shape operators for an Einstein hypersurface in an indefinite space form are classified algebraically. If the shape operator A A is not diagonalizable then either A 2 = 0 {A^2} = 0 or A 2 = − b 2 Id {A^2} = - {b^2}{\text {Id}} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1982-084-02/S0002-9939-1982-0637176-6/S0002-9939-1982-0637176-6.pdf

Reference4 articles.

1. Hypersurfaces of a space of constant curvature;Fialkow, Aaron;Ann. of Math. (2),1938

2. L. Graves, Codimension-one isometric immersions between Lorentz spaces, Thesis, Brown University, 1977.

3. M. Magid, Indefinite Einstein hypersurfaces (preprint).

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the equivalence of two curvature conditions for Lorentzian hypersurfaces;Arab Journal of Mathematical Sciences;2017-01

2. Semi-symmetric Lorentzian hypersurfaces in Lorentzian space forms;Journal of Geometry and Physics;2013-09

3. Minimal Lagrangian isotropic immersions in indefinite complex space forms;Journal of Geometry and Physics;2012-04

4. Almost Kähler Walker 4-manifolds;Journal of Geometry and Physics;2007-02

5. Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators;Journal of Geometric Analysis;2006-03