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

Osserman Manifolds in Semi-Riemannian Geometry

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 1777
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-43144-2
• 2002
• Seitenzahl: 184
• Erscheinungstermin: 25. Februar 2002
• Englisch
• Abmessung: 235mm x 155mm x 11mm
• Gewicht: 314g
• ISBN-13: 9783540431442
• ISBN-10: 3540431446
• Artikelnr.: 22923554

Autorenporträt

Eduardo Garcia-Rio, University of Santiago de Compostela, Santiago, Spain / Demir N. Kupeli, Atilim University, Ankara, Turkey / Ramon Vazquez-Lorenzo, University of Santiago de Compostela, Santiago, Spain

Inhaltsangabe

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.