LEADER 03018nam 2200697 450 001 996466374603316 005 20220907155509.0 010 $a3-540-49171-6 024 7 $a10.1007/BFb0076902 035 $a(CKB)1000000000437198 035 $a(SSID)ssj0000323440 035 $a(PQKBManifestationID)12114806 035 $a(PQKBTitleCode)TC0000323440 035 $a(PQKBWorkID)10297246 035 $a(PQKB)11373249 035 $a(DE-He213)978-3-540-49171-2 035 $a(MiAaPQ)EBC5585526 035 $a(Au-PeEL)EBL5585526 035 $a(OCoLC)1066195332 035 $a(MiAaPQ)EBC6841829 035 $a(Au-PeEL)EBL6841829 035 $a(OCoLC)1293251959 035 $a(PPN)155227998 035 $a(EXLCZ)991000000000437198 100 $a20220907d1995 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aGeneralized Heisenberg groups and Damek-Ricci harmonic spaces /$fJu?rgen Berndt, Franco Tricerri, Lieven Vanhecke 205 $a1st ed. 1995. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[1995] 210 4$dİ1995 215 $a1 online resource (VIII, 128 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1598 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-59001-3 320 $aIncludes bibliographical references (pages [115]-122) and index. 327 $aSymmetric-like riemannian manifolds -- Generalized Heisenberg groups -- Damek-Ricci spaces. 330 $aGeneralized Heisenberg groups, or H-type groups, introduced by A. Kaplan, and Damek-Ricci harmonic spaces are particularly nice Lie groups with a vast spectrum of properties and applications. These harmonic spaces are homogeneous Hadamard manifolds containing the H-type groups as horospheres. These notes contain a thorough study of their Riemannian geometry by means of a detailed treatment of their Jacobi vector fields and Jacobi operators. Some problems are included and will hopefully stimulate further research on these spaces. The book is written for students and researchers, assuming only basic knowledge of Riemannian geometry, and it contains a brief survey of the background material needed to follow the entire treatment. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1598 606 $aRiemannian manifolds 606 $aGlobal differential geometry 606 $aGeometry, Riemannian 615 0$aRiemannian manifolds. 615 0$aGlobal differential geometry. 615 0$aGeometry, Riemannian. 676 $a510 686 $a53C25$2msc 686 $a22E25$2msc 700 $aBerndt$b Ju?rgen$f1959-$0350863 702 $aVanhecke$b L. 702 $aTricerri$b F$g(Franco),$f1947- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466374603316 996 $aGeneralized Heisenberg groups and Damek-Ricci harmonic spaces$9375535 997 $aUNISA