Symmetries of Spacetimes and Riemannian Manifolds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1999
|
| Schriftenreihe: | Mathematics and Its Applications
487 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book provides an upto date information on metric, connection and curva ture symmetries used in geometry and physics. More specifically, we present the characterizations and classifications of Riemannian and Lorentzian manifolds (in particular, the spacetimes of general relativity) admitting metric (i.e., Killing, ho mothetic and conformal), connection (i.e., affine conformal and projective) and curvature symmetries. Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of a comprehensive collection of the works of a very large number of researchers on all the above mentioned symmetries. (b) We have aimed at bringing together the researchers interested in differential geometry and the mathematical physics of general relativity by giving an invariant as well as the index form of the main formulas and results. (c) Attempt has been made to support several main mathematical results by citing physical example(s) as applied to general relativity. (d) Overall the presentation is self contained, fairly accessible and in some special cases supported by an extensive list of cited references. (e) The material covered should stimulate future research on symmetries. Chapters 1 and 2 contain most of the prerequisites for reading the rest of the book. We present the language of semi-Euclidean spaces, manifolds, their tensor calculus; geometry of null curves, non-degenerate and degenerate (light like) hypersurfaces. All this is described in invariant as well as the index form |
| Beschreibung: | 1 Online-Ressource (X, 218 p) |
| ISBN: | 9781461553151 9781461374251 |
| DOI: | 10.1007/978-1-4615-5315-1 |
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| 490 | 0 | |a Mathematics and Its Applications |v 487 | |
| 500 | |a This book provides an upto date information on metric, connection and curva ture symmetries used in geometry and physics. More specifically, we present the characterizations and classifications of Riemannian and Lorentzian manifolds (in particular, the spacetimes of general relativity) admitting metric (i.e., Killing, ho mothetic and conformal), connection (i.e., affine conformal and projective) and curvature symmetries. Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of a comprehensive collection of the works of a very large number of researchers on all the above mentioned symmetries. (b) We have aimed at bringing together the researchers interested in differential geometry and the mathematical physics of general relativity by giving an invariant as well as the index form of the main formulas and results. (c) Attempt has been made to support several main mathematical results by citing physical example(s) as applied to general relativity. (d) Overall the presentation is self contained, fairly accessible and in some special cases supported by an extensive list of cited references. (e) The material covered should stimulate future research on symmetries. Chapters 1 and 2 contain most of the prerequisites for reading the rest of the book. We present the language of semi-Euclidean spaces, manifolds, their tensor calculus; geometry of null curves, non-degenerate and degenerate (light like) hypersurfaces. All this is described in invariant as well as the index form | ||
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Datensatz im Suchindex
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| dewey-ones | 516 - Geometry |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4615-5315-1 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9781461553151 9781461374251 |
| language | English |
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| spelling | Duggal, Krishan L. Verfasser aut Symmetries of Spacetimes and Riemannian Manifolds by Krishan L. Duggal, Ramesh Sharma Boston, MA Springer US 1999 1 Online-Ressource (X, 218 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 487 This book provides an upto date information on metric, connection and curva ture symmetries used in geometry and physics. More specifically, we present the characterizations and classifications of Riemannian and Lorentzian manifolds (in particular, the spacetimes of general relativity) admitting metric (i.e., Killing, ho mothetic and conformal), connection (i.e., affine conformal and projective) and curvature symmetries. Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of a comprehensive collection of the works of a very large number of researchers on all the above mentioned symmetries. (b) We have aimed at bringing together the researchers interested in differential geometry and the mathematical physics of general relativity by giving an invariant as well as the index form of the main formulas and results. (c) Attempt has been made to support several main mathematical results by citing physical example(s) as applied to general relativity. (d) Overall the presentation is self contained, fairly accessible and in some special cases supported by an extensive list of cited references. (e) The material covered should stimulate future research on symmetries. Chapters 1 and 2 contain most of the prerequisites for reading the rest of the book. We present the language of semi-Euclidean spaces, manifolds, their tensor calculus; geometry of null curves, non-degenerate and degenerate (light like) hypersurfaces. All this is described in invariant as well as the index form Mathematics Topological Groups Differential equations, partial Global differential geometry Differential Geometry Theoretical, Mathematical and Computational Physics Applications of Mathematics Topological Groups, Lie Groups Partial Differential Equations Mathematik 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Sharma, Ramesh Sonstige oth https://doi.org/10.1007/978-1-4615-5315-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Duggal, Krishan L. Symmetries of Spacetimes and Riemannian Manifolds Mathematics Topological Groups Differential equations, partial Global differential geometry Differential Geometry Theoretical, Mathematical and Computational Physics Applications of Mathematics Topological Groups, Lie Groups Partial Differential Equations Mathematik |
| subject_GND | (DE-588)4113937-9 |
| title | Symmetries of Spacetimes and Riemannian Manifolds |
| title_auth | Symmetries of Spacetimes and Riemannian Manifolds |
| title_exact_search | Symmetries of Spacetimes and Riemannian Manifolds |
| title_full | Symmetries of Spacetimes and Riemannian Manifolds by Krishan L. Duggal, Ramesh Sharma |
| title_fullStr | Symmetries of Spacetimes and Riemannian Manifolds by Krishan L. Duggal, Ramesh Sharma |
| title_full_unstemmed | Symmetries of Spacetimes and Riemannian Manifolds by Krishan L. Duggal, Ramesh Sharma |
| title_short | Symmetries of Spacetimes and Riemannian Manifolds |
| title_sort | symmetries of spacetimes and riemannian manifolds |
| topic | Mathematics Topological Groups Differential equations, partial Global differential geometry Differential Geometry Theoretical, Mathematical and Computational Physics Applications of Mathematics Topological Groups, Lie Groups Partial Differential Equations Mathematik |
| topic_facet | Mathematics Topological Groups Differential equations, partial Global differential geometry Differential Geometry Theoretical, Mathematical and Computational Physics Applications of Mathematics Topological Groups, Lie Groups Partial Differential Equations Mathematik Hochschulschrift |
| url | https://doi.org/10.1007/978-1-4615-5315-1 |
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