LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS-Reference-Cited by-同舟云学术

LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS

Published:2008-06 Issue:04 Volume:05 Page:557-572
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

GARCÍA-RÍO EDUARDO¹,HAJI-BADALI ALI²,VÁZQUEZ-ABAL M. ELENA¹,VÁZQUEZ-LORENZO RAMÓN¹

Affiliation:

1. Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain

2. Department of Mathematics, University of Tabriz, Iran

Abstract

Three-dimensional Lorentzian manifolds with commuting curvature operators are studied. A complete description is given at the algebraic level. Consequences are obtained at the differentiable setting for manifolds which additionally are assumed to be locally symmetric or homogeneous.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887808002941

Reference23 articles.

1. On Conformally Flat Spaces with Commuting Curvature and Ricci Transformations

2. Examples of signature (2, 2) manifolds with commuting curvature operators

3. Pseudo-riemannian manifolds with commuting jacobi operators

4. The global geometry of Riemannian manifolds with commuting curvature operators

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