Semi-Riemannian Geometry with Applications to Relativity.

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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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: O'neill, Barrett
Format: Electronic eBook
Language:Inglés
Published: Burlington : Elsevier, 1983.
Series:Pure and Applied Mathematics, v. 103.
Subjects:
Geometry, Riemannian.
Manifolds (Mathematics)
Calculus of tensors.
Relativity (Physics)
Géométrie de Riemann.
Variétés (Mathématiques)
Calcul tensoriel.
Relativité (Physique)
Calculus of tensors
Geometry, Riemannian
Online Access:Texto completo
Table of Contents:
  • Front Cover; SEMI-RIEMANNIAN GEOMETRY; Copyright Page; CONTENTS; Preface; Notation and Terminology; CHAPTER 1. MANIFOLD THEORY; CHAPTER 2. TENSORS; CHAPTER 3. SEMI-RIEMANNIAN MANIFOLDS; CHAPTER 4. SEMI-RIEMANNIAN SUBMANIFOLDS; CHAPTER 5. RIEMANNIAN AND LORENTZ GEOMETRY; CHAPTER 6. SPECIAL RELATIVITY; CHAPTER 7. CONSTRUCTIONS; CHAPTER 8. SYMMETRY AND CONSTANT CURVATURE; CHAPTER 9. ISOMETRIES; CHAPTER 10. CALCULUS OF VARIATIONS; CHAPTER 11. HOMOGENEOUS AND SYMMETRIC SPACES; CHAPTER 12. GENERAL RELATIVITY; COSMOLOGY; CHAPTER 13. SCHWARZSCHILD GEOMETRY; CHAPTER 14. CAUSALITY IN LORENTZ MANIFOLDS.

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