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OverviewThis book is an extensive monograph on Sasakian manifolds , focusing on the intricate relationship between Kähler and Sasakian geometries. The subject is introduced by discussion of several background topics, including the theory of Riemannian foliations, compact complex and Kähler orbifolds, and the existence and and obstruction theory of Kähler-Einstein metrics on complex compact orbifolds. There is then a discussion of contact and almost contact structures in the Riemannian setting, in which compact quasi-regular Sasakian manifolds emerge as algebraic objects. There is an extensive discussion of the symmetries of Sasakian manifolds, leading to a study of Sasakian structures on links of isolated hypersurface singularities. This is followed by an in-depth study of compact sasakian manifolds in dimensions three and five. The final section of the book deals with the existence of Sasaki-Einstein metrics. 3-Sasakian manifolds and the role of sasakian-Einstein geometry in String Theory are discussed separately. Full Product DetailsAuthor: Charles Boyer (University of New Mexico) , the late Krzysztof Galicki (University of New Mexico)Publisher: Oxford University Press Imprint: Oxford University Press Dimensions: Width: 16.40cm , Height: 4.00cm , Length: 24.10cm Weight: 1.075kg ISBN: 9780198564959ISBN 10: 0198564953 Pages: 626 Publication Date: 24 January 2008 Audience: College/higher education , Undergraduate Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsPreface Introduction 1: Structures on Manifolds 2: Foliations 3: Kahler Manifolds 4: Fundamentals of Orbifolds 5: Kahler-Einstein Metrics 6: Almost Contact and Contact Geometry 7: K-Contact and Sasakian Structures 8: Symmetries and Sasakian Structures 9: Links as Sasakian Manifolds 10: Sasakian Geometry in Dimensions Three and Five 11: Sasaki-Einstein Geometry 12: Quaternionic Kahler and Hyperkahler Manifolds 13: 3-Sasakian Manifolds 14: Sasakian Stuctures, Killing Spinors, and Supersymmetry Appendix A Appendix B Bibliography IndexReviews<br> An extremely welcome addition to the literature on Riemannian geometry, that displays the richness of the interplay of Sasakian geometry with algebraic geometry. It contains comprehensive references to the literature, and good short overviews of proofs of the more sophisticated results. --Mathematical Reviews<br> <br> An extremely welcome addition to the literature on Riemannian geometry, that displays the richness of the interplay of Sasakian geometry with algebraic geometry. It contains comprehensive references to the literature, and good short overviews of proofs of the more sophisticated results. --Mathematical Reviews<p><br> An extremely welcome addition to the literature on Riemannian geometry, that displays the richness of the interplay of Sasakian geometry with algebraic geometry. It contains comprehensive references to the literature, and good short overviews of proofs of the more sophisticated results.--Mathematical Reviews Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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