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Isotropic submanifolds of pseudo-Riemannian spaces


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Opened Access Isotropic submanifolds of pseudo-Riemannian spaces

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Author: Cabrerizo Jaraíz, José Luis
Fernández Andrés, Manuel
Gómez Casanueva, Juan Salvador
Department: Universidad de Sevilla. Departamento de Geometría y Topología
Date: 2012-09
Published in: Journal of Geometry and Physics, 62 (9), 1915-1924.
Document type: Article
Abstract: The family of all the submanifolds of a given Riemannian or pseudo-Riemannian manifold is large enough to classify them into some interesting subfamilies such as minimal (maximal), totally geodesic, Einstein, etc. Most of these have been extensively studied by many authors, but as far as we know, no paper has hitherto been published on the class of isotropic submanifolds. The purpose of this paper is therefore to gain a better understanding of this interesting class of submanifolds that arise naturally in mathematics and physics by studying their relationships with other closely distinguished families.
Cite: Cabrerizo Jaraíz, J.L., Fernández Andrés, M. y Gómez Casanueva, J.S. (2012). Isotropic submanifolds of pseudo-Riemannian spaces. Journal of Geometry and Physics, 62 (9), 1915-1924.
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DOI: 10.1016/j.geomphys.2012.05.002

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