LEADER 03458nam 2200649Ia 450 001 9910462028403321 005 20211202202837.0 010 $a3-11-090512-4 024 7 $a10.1515/9783110905120 035 $a(CKB)2670000000250817 035 $a(EBL)936428 035 $a(OCoLC)843635427 035 $a(SSID)ssj0000560176 035 $a(PQKBManifestationID)11342024 035 $a(PQKBTitleCode)TC0000560176 035 $a(PQKBWorkID)10568730 035 $a(PQKB)11742925 035 $a(MiAaPQ)EBC936428 035 $a(WaSeSS)Ind00013381 035 $a(DE-B1597)40789 035 $a(OCoLC)979762977 035 $a(DE-B1597)9783110905120 035 $a(PPN)175577269 035 $a(Au-PeEL)EBL936428 035 $a(CaPaEBR)ebr10597530 035 $a(EXLCZ)992670000000250817 100 $a19950110d1995 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aRiemannian geometry$b[electronic resource] /$fWilhelm P.A. Klingenberg 205 $a2nd rev. ed. 210 $aBerlin ;$aNew York $cW. de Gruyter$d1995 215 $a1 online resource (420 p.) 225 0 $aDe Gruyter Studies in Mathematics ;$v1 300 $aDescription based upon print version of record. 311 0 $a3-11-014593-6 320 $aIncludes bibliographical references (p. [393]-402) and index. 327 $tFront matter --$tChapter 1: Foundations. --$t1.0 Review of Differential Calculus and Topology --$t1.1 Differentiable Manifolds --$t1.2 Tensor Bundles --$t1.3 Immersions and Submersions --$t1.4 Vector Fields and Tensor Fields --$t1.5 Covariant Derivation --$t1.6 The Exponential Mapping --$t1.7 Lie Groups --$t1.8 Riemannian Manifolds --$t1.9 Geodesics and Convex Neighborhoods --$t1.10 Isometric Immersions --$t1.11 Riemannian Curvature --$t1.12 Jacobi Fields --$tChapter 2: Curvature and Topology. --$t2.1 Completeness and Cut Locus --$t2.1 Appendix - Orientation --$t2.2 Symmetric Spaces --$t2.3 The Hilbert Manifold of H1-curves --$t2.4 The Loop Space and the Space of Closed Curves --$t2.5 The Second Order Neighborhood of a Critical Point --$t2.5 Appendix - The S1- and the ?2-action on AM --$t2.6 Index and Curvature --$t2.6 Appendix - The Injectivity Radius for 1/4-pinched Manifolds --$t2.7 Comparison Theorems for Triangles --$t2.8 The Sphere Theorem --$t2.9 Non-compact Manifolds of Positive Curvature --$tChapter 3: Structure of the Geodesic Flow. --$t3.1 Hamiltonian Systems --$t3.2 Properties of the Geodesic Flow --$t3.3 Stable and Unstable Motions --$t3.4 Geodesics on Surfaces --$t3.5 Geodesics on the Ellipsoid --$t3.6 Closed Geodesies on Spheres --$t3.7 The Theorem of the Three Closed Geodesics --$t3.8 Manifolds of Non-Positive Curvature --$t3.9 The Geodesic Flow on Manifolds of Negative Curvature --$t3.10 The Main Theorem for Surfaces of Genus 0 --$tReferences --$tIndex 330 $aRiemannian Geometry (Degruyter Studies in Mathematics) 410 3$aDe Gruyter Studies in Mathematics 606 $aGeometry, Riemannian 606 $aGeometry, Differential 608 $aElectronic books. 615 0$aGeometry, Riemannian. 615 0$aGeometry, Differential. 676 $a516.3/73 700 $aKlingenberg$b Wilhelm$f1924-2010.$042056 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910462028403321 996 $aRiemannian geometry$945718 997 $aUNINA LEADER 01746nam 2200565 a 450 001 9910449782903321 005 20200520144314.0 035 $a(CKB)1000000000000730 035 $a(SSID)ssj0000386640 035 $a(PQKBManifestationID)12084903 035 $a(PQKBTitleCode)TC0000386640 035 $a(PQKBWorkID)10400293 035 $a(PQKB)10837672 035 $a(SSID)ssj0000385514 035 $a(PQKBManifestationID)11285418 035 $a(PQKBTitleCode)TC0000385514 035 $a(PQKBWorkID)10376245 035 $a(PQKB)23759927 035 $a(MiAaPQ)EBC116588 035 $a(Au-PeEL)EBL116588 035 $a(CaPaEBR)ebr2001845 035 $a(OCoLC)70738525 035 $a(EXLCZ)991000000000000730 100 $a20001208d2000 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAsk the expert guide to Microsoft Money 2001$b[electronic resource] /$fStephen L. Nelson, David B. Maguiness 210 $aRedmond, Wash. $cRedmond Technology Press$dc2000 215 $axviii, 252 p. $cill 300 $aIncludes index. 311 $a0-9672981-2-1 311 $a1-931150-14-1 606 $aFinance, Personal$xComputer programs 606 $aInvestments$xComputer programs 608 $aElectronic books. 615 0$aFinance, Personal$xComputer programs. 615 0$aInvestments$xComputer programs. 676 $a332.024/00285/5369 700 $aNelson$b Stephen L.$f1959-$042836 701 $aMaguiness$b David$0893658 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910449782903321 996 $aAsk the expert guide to Microsoft Money 2001$91996316 997 $aUNINA