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Sasakian Geometry

Charles Boyer and Krzysztof Galicki

Price: £75.00 (hardback)
ISBN-13: 978-0-19-856495-9
Publication date: 24 January 2008
614 pages, 234x156 mm
Series: Oxford Mathematical Monographs
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Description

Modern treatment of many classical topics in the area of Sasakian geometry.
Up-to-date discussion of all recent results.
Numerous examples and exercises.
Extensive bibliography and appendices.

This 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.

Contents

Preface

Introduction

|nChapter 1 |cStructures on Manifolds

|nChapter 2 |cFoliations

|nChapter 3 |cK er Manifolds

|nChapter 4 |cFundamentals of Orbifolds

|nChapter 5 |cK er-Einstein Metrics

|nChapter 6 |cAlmost Contact and Contact Geometry

|nChapter 7 |cK-Contact and Sasakian Structures

|nChapter 8 |cSymmetries and Sasakian Structures

|nChapter 9 |cLinks as Sasakian Manifolds

|nChapter 10 |cSasakian Geometry in Dimensions Three and Five

|nChapter 11 |cSasaki-Einstein Geometry

|nChapter 12 |cQuaternionic K er and Hyperk er Manifolds

|nChapter 13 |c3-Sasakian Manifolds

|nChapter 14 |cSasakian Stuctures, Killing Spinors, and Supersymmetry

Appendix A

Appendix B

Bibliography

Index

Authors, editors, and contributors

Charles Boyer, University of New Mexico and
Krzysztof Galicki, University of New Mexico

Links to web resources and related information

More in the same subject area:
Geometry
Algebraic geometry

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