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The Fundamental theorem of Submanifolds in Braneworld Theory

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart  and
E.M. Monte
E.M. Monte*
Affiliation:
Universidade Federal da Paraíba, Departamento de Física-Matemática, João Pessoa, 58059-970, Pb, Brasil
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Abstract

In this paper we present the mathematical consistency of braneworld theory with a new proof of the fundamental theorem of submanifolds for case of semi-Riemannian manifolds. We find the integrability conditions for the existence of space-time submanifolds in a pseudo-Euclidean space.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles, ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 377 - 381
Copyright
© EAS, EDP Sciences, 2008

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References

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