| Dewey Class |
516.36 |
| Title |
Osserman Manifolds in Semi-Riemannian Geometry ([EBook] /) / by Eduardo García-Río, Demir N. Kupeli, Ramón Vázquez-Lorenzo. |
| Author |
García-Río, Eduardo |
| Added Personal Name |
Kupeli, Demir N. author. |
| Vázquez-Lorenzo, Ramón author. |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2002. |
| Physical Details |
XIV, 170 p. : online resource. |
| Series |
Lecture Notes in Mathematics 0075-8434 ; ; 1777 |
| ISBN |
9783540456292 |
| Summary Note |
The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential geometry. The notation is mostly coordinate-free and the terminology is that of modern differential geometry. Known results toward the complete proof of Riemannian Osserman conjecture are given and the Osserman conjecture in Lorentzian geometry is proved completely. Counterexamples to the Osserman conjuncture in generic semi-Riemannian signature are provided and properties of semi-Riemannian Osserman manifolds are investigated.: |
| Contents note |
The Osserman Conditions in Semi-Riemannian Geometry -- The Osserman Conjecture in Riemannian Geometry -- Lorentzian Osserman Manifolds -- Four-Dimensional Semi-Riemannian Osserman Manifolds with Metric Tensors of Signature (2,2) -- Semi-Riemannian Osserman Manifolds -- Generalizations and Osserman-Related Conditions. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/b83213 |
| Links to Related Works |
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