000 02593nam a22003858i 4500
001 CR9780511661839
003 UkCbUP
005 20200124160239.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 091215s1987||||enk o ||1 0|eng|d
020 _a9780511661839 (ebook)
020 _z9780521348829 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA649
_b.M33 1987
082 0 0 _a516.3/6
_219
100 1 _aMackenzie, K.
_q(Kirill),
_eauthor.
245 1 0 _aLie groupoids and Lie algebroids in differential geometry /
_cK. Mackenzie.
246 3 _aLie Groupoids & Lie Algebroids in Differential Geometry
264 1 _aCambridge :
_bCambridge University Press,
_c1987.
300 _a1 online resource (xvi, 327 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v124
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie groupoid is a little-known formulation of the concept of principal bundle and corresponding to the Lie algebra of a Lie group is the concept of Lie algebroid: in principal bundle terms this is the Atiyah sequence. The author's viewpoint is that certain deep problems in connection theory are best addressed by groupoid and Lie algebroid methods. After preliminary chapters on topological groupoids, the author gives the first unified and detailed account of the theory of Lie groupoids and Lie algebroids. He then applies this theory to the cohomology of Lie algebroids, re-interpreting connection theory in cohomological terms, and giving criteria for the existence of (not necessarily Riemannian) connections with prescribed curvature form. This material, presented in the last two chapters, is work of the author published here for the first time. This book will be of interest to differential geometers working in general connection theory and to researchers in theoretical physics and other fields who make use of connection theory.
650 0 _aConnections (Mathematics)
650 0 _aLie groupoids.
650 0 _aLie algebroids.
650 0 _aFiber bundles (Mathematics)
776 0 8 _iPrint version:
_z9780521348829
830 0 _aLondon Mathematical Society lecture note series ;
_v124.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511661839
999 _c518352
_d518350