The geometry of curvature homogeneous pseudo-Riemannian manifolds /:
Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful intro...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London : Hackensack, NJ :
Imperial College Press ; Distributed byWorld Scientific Pub.,
©2007.
|
| Schriftenreihe: | Imperial College Press advanced texts in mathematics ;
v. 2. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful introduction to students entering this active and rapidly growing field. The author presents a comprehensive treatment of several aspects of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov?Tsankov?Videv theory. |
| Beschreibung: | 1 online resource (xii, 376 pages). |
| Bibliographie: | Includes bibliographical references (pages 361-372) and index. |
| ISBN: | 1860948588 9781860948589 1281120677 9781281120670 9786611120672 661112067X |
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| contents | The geometry of the Riemann curvature tensor -- Curvature homogeneous generalized plane wave manifolds -- Other pseudo-Riemannian manifolds -- The curvature tensor -- Complex Osserman algebraic curvature tensors -- Stanilov-Tsankov theory. |
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| id | ZDB-4-EBA-ocn648316953 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:17:21Z |
| institution | BVB |
| isbn | 1860948588 9781860948589 1281120677 9781281120670 9786611120672 661112067X |
| language | English |
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| series2 | ICP advanced texts in mathematics ; |
| spelling | Gilkey, Peter B. The geometry of curvature homogeneous pseudo-Riemannian manifolds / Peter B. Gilkey. London : Imperial College Press ; Hackensack, NJ : Distributed byWorld Scientific Pub., ©2007. 1 online resource (xii, 376 pages). text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda ICP advanced texts in mathematics ; v. 2 Includes bibliographical references (pages 361-372) and index. Print version record. Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful introduction to students entering this active and rapidly growing field. The author presents a comprehensive treatment of several aspects of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov?Tsankov?Videv theory. The geometry of the Riemann curvature tensor -- Curvature homogeneous generalized plane wave manifolds -- Other pseudo-Riemannian manifolds -- The curvature tensor -- Complex Osserman algebraic curvature tensors -- Stanilov-Tsankov theory. English. Riemannian manifolds. http://id.loc.gov/authorities/subjects/sh85114045 Curvature. http://id.loc.gov/authorities/subjects/sh85034911 Geometry, Differential. http://id.loc.gov/authorities/subjects/sh85054146 Variétés de Riemann. Courbure. Géométrie différentielle. MATHEMATICS Geometry Differential. bisacsh Curvature fast Geometry, Differential fast Riemannian manifolds fast Print version: Gilkey, Peter B. Geometry of curvature homogeneous pseudo-Riemannian manifolds. London : Imperial College Press ; Hackensack, NJ : Distributed byWorld Scientific Pub., ©2007 (DLC) 2007281635 Imperial College Press advanced texts in mathematics ; v. 2. http://id.loc.gov/authorities/names/no2007087803 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=203918 Volltext |
| spellingShingle | Gilkey, Peter B. The geometry of curvature homogeneous pseudo-Riemannian manifolds / Imperial College Press advanced texts in mathematics ; The geometry of the Riemann curvature tensor -- Curvature homogeneous generalized plane wave manifolds -- Other pseudo-Riemannian manifolds -- The curvature tensor -- Complex Osserman algebraic curvature tensors -- Stanilov-Tsankov theory. Riemannian manifolds. http://id.loc.gov/authorities/subjects/sh85114045 Curvature. http://id.loc.gov/authorities/subjects/sh85034911 Geometry, Differential. http://id.loc.gov/authorities/subjects/sh85054146 Variétés de Riemann. Courbure. Géométrie différentielle. MATHEMATICS Geometry Differential. bisacsh Curvature fast Geometry, Differential fast Riemannian manifolds fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85114045 http://id.loc.gov/authorities/subjects/sh85034911 http://id.loc.gov/authorities/subjects/sh85054146 |
| title | The geometry of curvature homogeneous pseudo-Riemannian manifolds / |
| title_auth | The geometry of curvature homogeneous pseudo-Riemannian manifolds / |
| title_exact_search | The geometry of curvature homogeneous pseudo-Riemannian manifolds / |
| title_full | The geometry of curvature homogeneous pseudo-Riemannian manifolds / Peter B. Gilkey. |
| title_fullStr | The geometry of curvature homogeneous pseudo-Riemannian manifolds / Peter B. Gilkey. |
| title_full_unstemmed | The geometry of curvature homogeneous pseudo-Riemannian manifolds / Peter B. Gilkey. |
| title_short | The geometry of curvature homogeneous pseudo-Riemannian manifolds / |
| title_sort | geometry of curvature homogeneous pseudo riemannian manifolds |
| topic | Riemannian manifolds. http://id.loc.gov/authorities/subjects/sh85114045 Curvature. http://id.loc.gov/authorities/subjects/sh85034911 Geometry, Differential. http://id.loc.gov/authorities/subjects/sh85054146 Variétés de Riemann. Courbure. Géométrie différentielle. MATHEMATICS Geometry Differential. bisacsh Curvature fast Geometry, Differential fast Riemannian manifolds fast |
| topic_facet | Riemannian manifolds. Curvature. Geometry, Differential. Variétés de Riemann. Courbure. Géométrie différentielle. MATHEMATICS Geometry Differential. Curvature Geometry, Differential Riemannian manifolds |
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