000 03115nam a22005535i 4500
001 978-3-540-49171-2
003 DE-He213
005 20190213151318.0
007 cr nn 008mamaa
008 121227s1995 gw | s |||| 0|eng d
020 _a9783540491712
_9978-3-540-49171-2
024 7 _a10.1007/BFb0076902
_2doi
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
072 7 _aPBMP
_2thema
082 0 4 _a516.36
_223
100 1 _aBerndt, Jürgen.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aGeneralized Heisenberg Groups and Damek-Ricci Harmonic Spaces
_h[electronic resource] /
_cby Jürgen Berndt, Franco Tricerri, Lieven Vanhecke.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1995.
300 _aVIII, 128 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1598
505 0 _aSymmetric-like riemannian manifolds -- Generalized Heisenberg groups -- Damek-Ricci spaces.
520 _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.
650 0 _aGlobal differential geometry.
650 0 _aAlgebra.
650 0 _aGroup theory.
650 0 _aTopological Groups.
650 1 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aAlgebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11000
650 2 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
650 2 4 _aTopological Groups, Lie Groups.
_0http://scigraph.springernature.com/things/product-market-codes/M11132
700 1 _aTricerri, Franco.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aVanhecke, Lieven.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662177617
776 0 8 _iPrinted edition:
_z9783540590019
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1598
856 4 0 _uhttps://doi.org/10.1007/BFb0076902
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10237
_d10237