000 03876nam a22004695i 4500
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005 20191011023844.0
007 cr nn 008mamaa
008 100825s2010 xxu| s |||| 0|eng d
020 6 4 _a9780817649593
_9978-0-8176-4959-3
024 8 7 _a10.1007/978-0-8176-4959-3
_2doi
050 8 4 _aQA641-670
072 8 7 _aPBMP
_2bicssc
072 8 7 _aMAT012030
_2bisacsh
082 _a516.36
_223
100 8 1 _aBlair, David E.
_eauthor.
_933107
245 9 7 _aRiemannian Geometry of Contact and Symplectic Manifolds
_h[electronic resource] /
_cby David E. Blair.
001 000047922
300 6 4 _aXV, 343 p. 8 illus.
_bonline resource.
490 8 1 _aProgress in Mathematics ;
_v203
505 8 0 _aSymplectic Manifolds -- Principal S 1-bundles -- Contact Manifolds -- Associated Metrics -- Integral Submanifolds and Contact Transformations -- Sasakian and Cosymplectic Manifolds -- Curvature of Contact Metric Manifolds -- Submanifolds of Khler and Sasakian Manifolds -- Tangent Bundles and Tangent Sphere Bundles -- Curvature Functionals on Spaces of Associated Metrics -- Negative ?sectional Curvature -- Complex Contact Manifolds -- Additional Topics in Complex Geometry -- 3-Sasakian Manifolds -- Erratum.
520 6 4 _aThis second edition, divided into fourteen chapters, presents a comprehensive treatment of contact and symplectic manifolds from the Riemannian point of view. The monograph examines the basic ideas in detail and provides many illustrative examples for the reader. Riemannian Geometry of Contact and Symplectic Manifolds, Second Edition provides new material in most chapters, but a particular emphasis remains on contact manifolds. New principal topics include a complex geodesic flow and the accompanying geometry of the projectivized holomorphic tangent bundle and a complex version of the special directions discussed in Chapter 11 for the real case. Both of these topics make use of tienne Ghys's attractive notion of a holomorphic Anosov flow. Researchers, mathematicians, and graduate students in contact and symplectic manifold theory and in Riemannian geometry will benefit from this work. A basic course in Riemannian geometry is a prerequisite. Reviews from the First Edition: "The book . . . can be used either as an introduction to the subject or as a reference for students and researchers . . . [it] gives a clear and complete account of the main ideas . . . and studies a vast amount of related subjects such as integral sub-manifolds, symplectic structure of tangent bundles, curvature of contact metric manifolds and curvature functionals on spaces of associated metrics." Mathematical Reviews "Ǫthis is a pleasant and useful book and all geometers will profit [from] reading it. They can use it for advanced courses, for thesis topics as well as for references. Beginners will find in it an attractive [table of] contents and useful ideas for pursuing their studies." Memoriile Sectiilor Stiintifice
650 8 0 _aMathematics.
_98571
650 8 0 _aGlobal differential geometry.
_99530
650 8 0 _aCell aggregation
_xMathematics.
_912625
650 _aMathematics.
_98571
650 _aDifferential Geometry.
_99532
650 _aManifolds and Cell Complexes (incl. Diff.Topology).
_912627
710 8 2 _aSpringerLink (Online service)
_933108
773 8 0 _tSpringer eBooks
776 _iPrinted edition:
_z9780817649586
830 8 0 _aProgress in Mathematics ;
_v203
_933109
856 _uhttp://dx.doi.org/10.1007/978-0-8176-4959-3
_zde clik aquí para ver el libro electrónico
264 8 1 _aBoston :
_bBirkhuser Boston :
_bImprint: Birkhuser,
_c2010.
336 6 4 _atext
_btxt
_2rdacontent
337 6 4 _acomputer
_bc
_2rdamedia
338 6 4 _aonline resource
_bcr
_2rdacarrier
347 6 4 _atext file
_bPDF
_2rda
516 6 4 _aZDB-2-SMA
999 _c47651
_d47651
942 _c05