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Semi-Riemannian geometry : with applications to relativity /

This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: O'Neill, Barrett
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1983.
Colección:Pure and applied mathematics (Academic Press) ; 103.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo
Tabla de Contenidos:
  • Manifold Theory. Tensors. Semi-Riemannian Manifolds. Semi-Riemannian Submanifolds. Riemannian and Lorenz Geometry. Special Relativity. Constructions. Symmetry and Constant Curvature. Isometries. Calculus of Variations. Homogeneous and Symmetric Spaces. General Relativity. Cosmology. Schwarzschild Geometry. Causality in Lorentz Manifolds. Fundamental Groups and Covering Manifolds. Lie Groups. Newtonian Gravitation.