Isotropic submanifolds of pseudo-Riemannian spaces
Copyright policy )Isotropic submanifolds of pseudo-Riemannian spaces
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.
Ministerio de Ciencia y Tecnología
Junta de Andalucía
- University of Seville Spain
Isometric immersion, Global submanifolds, space-like submanifold, Pseudo-Riemannian manifold, Isotropic submanifold, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Special Riemannian manifolds (Einstein, Sasakian, etc.), pseudo-Riemannian manifold, Lorentzian submanifold, isometric immersion, isotropic submanifold, Spacelike submanifold
Isometric immersion, Global submanifolds, space-like submanifold, Pseudo-Riemannian manifold, Isotropic submanifold, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Special Riemannian manifolds (Einstein, Sasakian, etc.), pseudo-Riemannian manifold, Lorentzian submanifold, isometric immersion, isotropic submanifold, Spacelike submanifold
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