03288nam 22006615 450 991014459510332120250723164012.03-540-45629-510.1007/b83213(CKB)1000000000233242(SSID)ssj0000325481(PQKBManifestationID)12097352(PQKBTitleCode)TC0000325481(PQKBWorkID)10324290(PQKB)10497390(DE-He213)978-3-540-45629-2(MiAaPQ)EBC6301402(MiAaPQ)EBC5592819(Au-PeEL)EBL5592819(OCoLC)1066182524(PPN)155215701(EXLCZ)99100000000023324220121227d2002 u| 0engurnn|008mamaatxtccrOsserman Manifolds in Semi-Riemannian Geometry /by Eduardo Garcia-Rio, Demir N. Kupeli, Ramon Vazquez-Lorenzo1st ed. 2002.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2002.1 online resource (XIV, 170 p.) Lecture Notes in Mathematics,1617-9692 ;1777Bibliographic Level Mode of Issuance: Monograph3-540-43144-6 Includes bibliographical references and index.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.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.Lecture Notes in Mathematics,1617-9692 ;1777Geometry, DifferentialMathematical physicsDifferential GeometryTheoretical, Mathematical and Computational PhysicsGeometry, Differential.Mathematical physics.Differential Geometry.Theoretical, Mathematical and Computational Physics.516.3/73García-Río Eduardoauthttp://id.loc.gov/vocabulary/relators/aut0Kupeli Demir Nauthttp://id.loc.gov/vocabulary/relators/autVázquez-Lorenzo Ramónauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910144595103321Osserman manifolds in semi-riemannian geometry262261UNINA