LEADER 03288nam 22006615 450 001 9910144595103321 005 20250723164012.0 010 $a3-540-45629-5 024 7 $a10.1007/b83213 035 $a(CKB)1000000000233242 035 $a(SSID)ssj0000325481 035 $a(PQKBManifestationID)12097352 035 $a(PQKBTitleCode)TC0000325481 035 $a(PQKBWorkID)10324290 035 $a(PQKB)10497390 035 $a(DE-He213)978-3-540-45629-2 035 $a(MiAaPQ)EBC6301402 035 $a(MiAaPQ)EBC5592819 035 $a(Au-PeEL)EBL5592819 035 $a(OCoLC)1066182524 035 $a(PPN)155215701 035 $a(EXLCZ)991000000000233242 100 $a20121227d2002 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aOsserman Manifolds in Semi-Riemannian Geometry /$fby Eduardo Garcia-Rio, Demir N. Kupeli, Ramon Vazquez-Lorenzo 205 $a1st ed. 2002. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2002. 215 $a1 online resource (XIV, 170 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1777 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-43144-6 320 $aIncludes bibliographical references and index. 327 $aThe 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. 330 $aThe subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential geometry. The notation is mostly coordinate-free and the terminology is that of modern differential geometry. Known results toward the complete proof of Riemannian Osserman conjecture are given and the Osserman conjecture in Lorentzian geometry is proved completely. Counterexamples to the Osserman conjuncture in generic semi-Riemannian signature are provided and properties of semi-Riemannian Osserman manifolds are investigated. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1777 606 $aGeometry, Differential 606 $aMathematical physics 606 $aDifferential Geometry 606 $aTheoretical, Mathematical and Computational Physics 615 0$aGeometry, Differential. 615 0$aMathematical physics. 615 14$aDifferential Geometry. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a516.3/73 700 $aGarci?a-Ri?o$b Eduardo$4aut$4http://id.loc.gov/vocabulary/relators/aut$00 702 $aKupeli$b Demir N$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aVa?zquez-Lorenzo$b Ramo?n$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910144595103321 996 $aOsserman manifolds in semi-riemannian geometry$9262261 997 $aUNINA