
Sasakian Geometry
Oxford University Press
Published on 24. January 2008
Book
Hardback
626 pages
978-0-19-856495-9 (ISBN)
Description
This book is an extensive monograph on Sasakian manifolds , focusing on the intricate relationship between Kaehler and Sasakian geometries. The subject is introduced by discussion of several background topics, including the theory of Riemannian foliations, compact complex and Kaehler orbifolds, and the existence and and obstruction theory of Kaehler-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.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
College/higher education
Graduates and researchers in mathematics, particularly Riemannian geometry, and non-expert researchers in related fields, such as physicists working in the area of String Theory
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 38 mm
Weight
1095 gr
ISBN-13
978-0-19-856495-9 (9780198564959)
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Schweitzer Classification
Persons
Charles Boyer, University of New Mexico and the late Krzysztof Galicki, University of New Mexico
Content
PREFACE; INTRODUCTION; APPENDIX A; APPENDIX B; BIBLIOGRAPHY; INDEX