Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorTian, Gang. author
TitleCanonical Metrics in Kรคhler Geometry [electronic resource] / by Gang Tian
ImprintBasel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2000
Connect tohttp://dx.doi.org/10.1007/978-3-0348-8389-4
Descript VII, 101 p. online resource

CONTENT

1 Introduction to Kรคhler manifolds -- 1.1 Kรคhler metrics -- 1.2 Curvature of Kรคhler metrics -- 2 Extremal Kรคhler metrics -- 2.1 The space of Kรคhler metrics -- 2.2 A brief review of Chern classes -- 2.3 Uniformization of Kรคhler-Einstein manifolds -- 3 Calabi-Futaki invariants -- 3.1 Definition of Calabi-Futaki invariants -- 3.2 Localization formula for Calabi-Futaki invariants -- 4 Scalar curvature as a moment map -- 5 Kรคhler-Einstein metrics with non-positive scalar curvature -- 5.1 The Calabi-Yau Theorem -- 5.2 Kรคhler-Einstein metrics for manifolds with c1(M) < 0 -- 6 Kรคhler-Einstein metrics with positive scalar curvature -- 6.1 A variational approach -- 6.2 Existence of Kรคhler-Einstein metrics -- 6.3 Examples -- 7 Applications and generalizations -- 7.1 A manifold without Kรคhler-Einstein metric -- 7.2 K-energy and metrics of constant scalar curvature -- 7.3 Relation to stability


Mathematics Global analysis (Mathematics) Manifolds (Mathematics) Differential geometry Physics Mathematics Differential Geometry Global Analysis and Analysis on Manifolds Mathematical Methods in Physics



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram