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Título:
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On the conformal geometry of transverse Riemann-Lorentz manifolds.
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Autores:
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Aguirre Dabán, Eduardo ;
Fernández Mateos, Victor ;
Lafuente López, Javier
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Tipo de documento:
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texto impreso
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Editorial:
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Real Sociedad Matemática Española, 2007
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría diferencial
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Tipo = Sección de libro
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Resumen:
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Let M be a connected manifold and let g be a symmetric covariant tensor field of order 2 on M.
Assume that the set of points where g degenerates is not empty. If U is a coordinate system around p 2 , then g is a transverse type-changing metric at p if dp(det(g)) 6= 0, and (M, g) is called a transverse type-changing pseudo-iemannian manifold if g is transverse type-changing at every point of . The set is a hypersurface of M. Moreover, at every point of there exists a one-dimensional radical, that is, the subspace Radp(M) of TpM, which is g-orthogonal to TpM. The index of g is constant on every connected component M = M r; thus M is a union of connected pseudo-Riemannian manifolds. Locally, separates two pseudo-Riemannian manifolds whose indices differ by one unit. The authors consider the cases where separates a Riemannian part from a Lorentzian one, so-called transverse Riemann-Lorentz manifolds. In this paper, they study the conformal geometry of transverse Riemann-Lorentz manifolds
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En línea:
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https://eprints.ucm.es/id/eprint/20276/1/0609838%20%281%29.pdf
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