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020 _a9783034808712
_9978-3-0348-0871-2
024 7 _a10.1007/978-3-0348-0871-2
_2doi
035 _ato000541822
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA613-613.8
050 4 _aQA613.6-613.66
072 7 _aPBMS
_2bicssc
072 7 _aPBPH
_2bicssc
072 7 _aMAT038000
_2bisacsh
082 0 4 _a514.34
_223
100 1 _aAsaoka, Masayuki.
_eauthor.
_9447213
245 1 0 _aFoliations: Dynamics, Geometry and Topology
_helectronic resource
_cby Masayuki Asaoka, Aziz El Kacimi Alaoui, Steven Hurder, Ken Richardson ; edited by Jesús Álvarez López, Marcel Nicolau.
260 _aBasel :
_bSpringer Basel :
_bImprint: Birkhäuser,
_c2014.
300 _aIX, 198 p. 20 illus., 10 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aAdvanced Courses in Mathematics - CRM Barcelona,
_x2297-0304
505 0 _aFundamentals of Foliation Theory -- Foliation Dynamics -- Deformation of Locally Free Actions and Leafwise Cohomology -- Transversal Dirac Operators on Distributions, Foliations, and G-Manifolds.
520 _aThis book is an introduction to several active research topics in Foliation Theory and its connections with other areas. It contains expository lectures showing the diversity of ideas and methods arising and used in the study of foliations. The lectures by A. El Kacimi Alaoui offer an introduction to Foliation Theory, with emphasis on examples and transverse structures. S. Hurder's lectures apply ideas from smooth dynamical systems to develop useful concepts in the study of foliations, like limit sets and cycles for leaves, leafwise geodesic flow, transverse exponents, stable manifolds, Pesin Theory, and hyperbolic, parabolic, and elliptic types of foliations, all of them illustrated with examples. The lectures by M. Asaoka are devoted to the computation of the leafwise cohomology of orbit foliations given by locally free actions of certain Lie groups, and its application to the description of the deformation of those actions. In the lectures by K. Richardson, he studies the geometric and analytic properties of transverse Dirac operators for Riemannian foliations and compact Lie group actions, and explains a recently proved index formula. Besides students and researchers of Foliation Theory, this book will appeal to mathematicians interested in the applications to foliations of subjects like topology of manifolds, dynamics, cohomology or global analysis.
650 0 _amathematics.
_9566183
650 0 _aDifferentiable dynamical systems.
_9303495
650 0 _aGlobal analysis.
_9303746
650 0 _aCell aggregation
_xMathematics.
_9306491
650 1 4 _aMathematics.
_9566184
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_9306492
650 2 4 _aDynamical Systems and Ergodic Theory.
_9303500
650 2 4 _aGlobal Analysis and Analysis on Manifolds.
_9303748
700 1 _aEl Kacimi Alaoui, Aziz.
_eauthor.
_9447214
700 1 _aHurder, Steven.
_eauthor.
_9447215
700 1 _aRichardson, Ken.
_eauthor.
_9447216
700 1 _aÁlvarez López, Jesús.
_eeditor.
_9447217
700 1 _aNicolau, Marcel.
_eeditor.
_9447218
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aAdvanced Courses in Mathematics - CRM Barcelona,
_9567362
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0348-0871-2
912 _aZDB-2-SMA
999 _c399485