Imbedding of pseudo-Riemannian manifolds in a pseudo-euclidean space

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1971 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 9, pages 113-116 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Sokolov, D. D.;

doi: 10.1007/bf01316990

Imbedding of pseudo-Riemannian manifolds in a pseudo-euclidean space

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Abstract

It is proved that every pseudo-Riemannian manifold M (p, q) n with the Ck metric (3≤k≤∞) has an isometric Ck imbedding in the large in E (p′, q′) n(n+1)(3n+11)/2 , p′≥(n+1)2, q′≥(n+1)2.

Related Organizations

Lomonosov Moscow State University
Russian Federation

Keywords

Special Riemannian manifolds (Einstein, Sasakian, etc.)

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