Conformal, Riemannian and Lagrangian geometry : the 2000 Barrett lectures / Sun-Yung A. Chang ... [and others] ; Alexandre Freire, editor.

Format:

Book

Contributor:

Chang, Sun-Yung A., 1948-

Freire, Alexandre S.

Series:

University lecture series (Providence, R.I.) ; 27.

University lecture series, 1047-3998 ; v. 27

Language:

English

Subjects (All):

Conformal geometry.

Geometry, Riemannian.

Geometry, Differential.

Physical Description:

x, 85 pages : illustrations ; 26 cm.

Place of Publication:

Providence, R.I. : American Mathematical Society, [2002]

Contents:

Chapter 1. Partial Differential Equations Related to the Gauss-Bonnet-Chern Integrand on 4-manifolds / Sun-Yung A. Chang, Paul C. Yang

1. Finiteness of conformally flat structures 3

2. Background on [sigma subscript 2] 8

3. Deforming [sigma subscript 2] to a positive function 16

4. Deforming [sigma subscript 2] to a constant 22

Chapter 2. Geometry of, and via, Symmetries / Karsten Grove

1. Geometry of isometry groups 32

2. Structure and classification program 35

3. Constructions and examples 39

4. Emergence of isometries 43

5. Open problems 47

Chapter 3. Lagrangian Cycles and Volume / Jon G. Wolfson

1. The variational problem 55

2. Existence 64

3. Regularity: cones and monotonicity 74.

Notes:

Includes bibliographical references (page 85).

ISBN:

0821832107

OCLC:

49821051