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Sasakian Geometry

Sasakian Geometry

by Charles Boyer and the late Krzysztof Galicki
Hardback
Publication Date: 24/01/2008

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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, including 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 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.
ISBN:
9780198564959
9780198564959
Category:
Algebraic geometry
Format:
Hardback
Publication Date:
24-01-2008
Language:
English
Publisher:
Oxford University Press
Country of origin:
United Kingdom
Pages:
626
Dimensions (mm):
241x164x40mm
Weight:
1.08kg

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