03636nam a22003975i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137082001500172100002900187245010500216264006700321300004200388336002600430337002600456338003600482347002400518490003500542505052000577520172901097650001702826650003402843650003502877650001702912650002702929650005602956710003403012773002003046776003603066830003503102856010103137978-0-8176-4959-3DE-He21320260521092032.0cr nn 008mamaa100825s2010    xxu|    s    |||| 0|eng d  a9780817649593  a997808176495937 a10.1007/978-0-8176-4959-32doi04a516.362231 aBlair, David E.eauthor.10aRiemannian Geometry of Contact and Symplectic Manifoldsh[electronic resource] /cby David E. Blair. 1aBoston :bBirkhäuser Boston :bImprint: Birkhäuser,c2010.  aXV, 343 p. 8 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aProgress in Mathematics ;v2030 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 Kähler 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.  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 Étienne 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 "...this 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 0aMATHEMATICS. 0aGLOBAL DIFFERENTIAL GEOMETRY. 0aCELL AGGREGATIONxMATHEMATICS.14aMATHEMATICS.24aDIFFERENTIAL GEOMETRY.24aMANIFOLDS AND CELL COMPLEXES (INCL. DIFF.TOPOLOGY).2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817649586 0aProgress in Mathematics ;v20340uhttp://dx.doi.org/10.1007/978-0-8176-4959-3zVer el texto completo en las instalaciones del CICY