Symmetries and curvature structure in general relativity
Author(s)
Bibliographic Information
Symmetries and curvature structure in general relativity
（World Scientific lecture notes in physics, v. 46）
World Scientific, c2004
Available at / 13 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:539.7/H1422080004062
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Note
Includes bibliographical references (p. 413-420) and index
Description and Table of Contents
Description
This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided.
Table of Contents
- Introduction
- topological spaces
- groups and linear algebra
- manifold theory
- transformation groups
- the Lorentz group
- general relativity theory
- space-time holonomy
- curvature structure in general relativity
- affine symmetries in space-time
- conformal symmetries in space-time
- curvature collineations
- sectional curvature structure.
by "Nielsen BookData"