Sasakian Geometry

Hardcover | January 24, 2008

byCharles Boyer, Krzysztof Galicki

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This book is an extensive monograph on Sasakian manifolds , focusing on the intricate relationship between Kahler and Sasakian geometries. The subject is introduced by discussion of several background topics, icluding the theory of Riemannian foliations, compact complex and Kahler orbifolds,and the existence and and obstruction theory of Kahler-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 extensivediscussion 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 ofSasaki-Einstein metrics. 3-Sasakian manifolds and the role of sasakian-Einstein geometry in String Theory are discussed separately.

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This book is an extensive monograph on Sasakian manifolds , focusing on the intricate relationship between Kahler and Sasakian geometries. The subject is introduced by discussion of several background topics, icluding the theory of Riemannian foliations, compact complex and Kahler orbifolds,and the existence and and obstruction theory ...

Charles Boyer is a Professor in the Mathematics and Statistics Department at the University of New Mexico. Krzysztof Galicki is a Professor in the Mathematics and Statistics Department at the University of New Mexico.

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Format:HardcoverDimensions:614 pages, 9.21 × 6.14 × 1.57 inPublished:January 24, 2008Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198564953

ISBN - 13:9780198564959

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Table of Contents

PrefaceIntroduction1. Structures on Manifolds2. Foliations3. Kahler Manifolds4. Fundamentals of Orbifolds5. Kahler-Einstein Metrics6. Almost Contact and Contact Geometry7. K-Contact and Sasakian Structures8. Symmetries and Sasakian Structures9. Links as Sasakian Manifolds10. Sasakian Geometry in Dimensions Three and Five11. Sasaki-Einstein Geometry12. Quaternionic Kahler and Hyperkahler Manifolds13. 3-Sasakian Manifolds14. Sasakian Stuctures, Killing Spinors, and SupersymmetryAppendix AAppendix BBibliographyIndex