Symmetries and curvature structure in general relativity
- 作者: Hall, G. S.
- 出版: Singapore ;River Edge, NJ : World Scientific ©2004.
- 稽核項: 1 online resource (x, 430 pages) :illustrations.
- 叢書名: World Scientific lecture notes in physics ;v. 46
- 標題: Spaces of constant curvature. , PhysicsNuclear. , Relativity (Physics) , Symmetry (Physics) , Symmetric spaces. , Electronic books. , Symétrie (Physique) , Espaces à courbure constante. , SCIENCE Physics -- Atomic & Molecular. , SCIENCE , PhysicsAtomic & Molecular. , SCIENCE Physics -- Nuclear. , Relativité (Physique) , Espaces symétriques.
- ISBN: 9810210515 , 9789810210519
- ISBN: 9810210515
- 試查全文@TNUA:
- 附註: Includes bibliographical references (pages 413-420) and index.
- 摘要: 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.
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=130014
- 系統號: 005321567
- 資料類型: 電子書
- 讀者標籤: 需登入
- 引用網址: 複製連結
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.
來源: Google Book
來源: Google Book
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