Sasakian Geometry

Erscheinungsjahr 2013
ISBN: 978-0-19-856495-9
Verlag: Oxford University Press (UK)

Buch, Englisch, 626 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 1095 g

Reihe: Oxford Mathematical Monographs

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.

Zielgruppe

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

Autoren/Hrsg.

Boyer, Galicki

Boyer, Charles

Galicki, the late Krzysztof

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines

Inhaltsverzeichnis

Preface

Introduction

1. Structures on Manifolds

2. Foliations

3. Kähler Manifolds

4. Fundamentals of Orbifolds

5. Kähler-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 Kähler and Hyperkähler Manifolds

13. 3-Sasakian Manifolds

14. Sasakian Stuctures, Killing Spinors, and Supersymmetry

Appendix A

Appendix B

Bibliography

Index

Über Autor(innen)

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