Del 69 - London Mathematical Society Student Texts

Lectures on Kähler Geometry

Inbunden, Engelska, 2007

AvAndrei Moroianu,Paris) Moroianu, Andrei (Ecole Polytechnique

2 119 kr

Beställningsvara. Skickas inom 7-10 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Finns i fler format (1)

Häftad

689 kr

Skickas inom 7-10 vardagar

Kähler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-contained graduate text provides a concise and accessible introduction to the topic. The book begins with a review of basic differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. Kähler manifolds are discussed from the point of view of Riemannian geometry, and Hodge and Dolbeault theories are outlined, together with a simple proof of the famous Kähler identities. The final part of the text studies several aspects of compact Kähler manifolds: the Calabi conjecture, Weitzenböck techniques, Calabi-Yau manifolds, and divisors. All sections of the book end with a series of exercises and students and researchers working in the fields of algebraic and differential geometry and theoretical physics will find that the book provides them with a sound understanding of this theory.

Produktinformation

Utgivningsdatum2007-03-29
Mått152 x 229 x 14 mm
Vikt440 g
FormatInbunden
SpråkEngelska
SerieLondon Mathematical Society Student Texts
Antal sidor182
FörlagCambridge University Press
ISBN9780521868914

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik

Introduction; Part I. Basics on Differential Geometry: 1. Smooth manifolds; 2. Tensor fields on smooth manifolds; 3. The exterior derivative; 4. Principal and vector bundles; 5. Connections; 6. Riemannian manifolds; Part II. Complex and Hermitian Geometry: 7. Complex structures and holomorphic maps; 8. Holomorphic forms and vector fields; 9. Complex and holomorphic vector bundles; 10. Hermitian bundles; 11. Hermitian and Kähler metrics; 12. The curvature tensor of Kähler manifolds; 13. Examples of Kähler metrics; 14. Natural operators on Riemannian and Kähler manifolds; 15. Hodge and Dolbeault theory; Part III. Topics on Compact Kähler Manifolds: 16. Chern classes; 17. The Ricci form of Kähler manifolds; 18. The Calabi–Yau theorem; 19. Kähler–Einstein metrics; 20. Weitzenböck techniques; 21. The Hirzebruch–Riemann–Roch formula; 22. Further vanishing results; 23. Ricci–flat Kähler metrics; 24. Explicit examples of Calabi–Yau manifolds; Bibliography; Index.

Mer från samma serie

Del 50

A Brief Guide to Algebraic Number Theory

H. P. F. Swinnerton-Dyer, H. P. F. (University of Cambridge) Swinnerton-Dyer

Häftad

779 kr

Del 75

An Introduction to the Theory of Graph Spectra

Dragoš Cvetković, Peter Rowlinson, Slobodan Simić, Dragoš Cvetković, Slobodan Simić, Dragos Cvetkovic, Peter (University of Stirling) Rowlinson, Slobodan Simic, Dragos Cvetkovi&#263, Cvetkovi&, Simi&

Inbunden

1 909 kr

Del 75

An Introduction to the Theory of Graph Spectra

Dragoš Cvetković, Peter Rowlinson, Slobodan Simić, Dragoš Cvetković, Slobodan Simić, Dragos Cvetkovic, Peter (University of Stirling) Rowlinson, Slobodan Simic, Drago Cvetkovic, Drago¿ Cvetkovi¿, Slobodan Simi¿

Häftad

799 kr

Del 77

Lectures on Profinite Topics in Group Theory

Benjamin Klopsch, Nikolay Nikolov, Christopher Voll, University of London) Klopsch, Benjamin (Royal Holloway, Nikolay (Imperial College London) Nikolov, Christopher (University of Southampton) Voll, Dan Segal, Oxford) Segal, Dan (All Souls College

Häftad

899 kr