Osserman Manifolds in Semi-Riemannian Geometry (Lecture Notes in Mathematics, 1777, Band 1777) - Softcover

Garcia-Rio, Eduardo; Vazquez-Lorenzo, Ramon; Kupeli, Demir N.

Softcover

ISBN 10: 3540431446 ISBN 13: 9783540431442

Verlag: Springer, 2008

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Peter Gilkey is a Professor of Mathematics and a member of the Institute of Theoretical Science at the University of Oregon (USA). He is a fellow of the American Mathematical Society and is a member of the editorial board of Results in Mathematics, Differential Geometry and Applications, and the International Journal of Geometric Methods to Mathematical Physics. He received his Ph.D. in 1972 from Harvard University under the direction of L. Nirenberg. His research specialties are Differential Geometry, Elliptic Partial Differential Equations, and Algebraic topology. He has published more than 230 research articles and books.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2008
• Sprache: Englisch
• ISBN 10: 3540431446
• ISBN 13: 9783540431442
• Einband: Taschenbuch
• Anzahl der Seiten: 184
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