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- catalog abstract "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.".
- catalog contributor b12465477.
- catalog contributor b12465478.
- catalog contributor b12465479.
- catalog created "2002.".
- catalog date "2002".
- catalog date "2002.".
- catalog dateCopyrighted "2002.".
- catalog description "Includes bibliographical references (p. [157]-163) and index".
- catalog description "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.".
- catalog description "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.".
- catalog extent "xii, 166 p. ;".
- catalog identifier "3540431446 (pbk.)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1777.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1777".
- catalog issued "2002".
- catalog issued "2002.".
- catalog language "eng".
- catalog publisher "Berlin : Springer,".
- catalog subject "516.373 21".
- catalog subject "Geometry, Riemannian.".
- catalog subject "Global differential geometry.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1777".
- catalog subject "Riemannian manifolds.".
- catalog tableOfContents "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.".
- catalog title "Osserman manifolds in semi-Riemannian geometry / Eduardo Garcia-Rio, Demir N. Kupeli, Ramon Vazquez-Lorenzo.".
- catalog type "text".