**Contemporary Mathematics**

Volume: 332;
2003;
325 pp;
Softcover

MSC: Primary 32; 53;

Print ISBN: 978-0-8218-3273-8

Product Code: CONM/332

List Price: $92.00

Individual Member Price: $73.60

**Electronic ISBN: 978-0-8218-7922-1
Product Code: CONM/332.E**

List Price: $92.00

Individual Member Price: $73.60

# Explorations in Complex and Riemannian Geometry: A Volume Dedicated to Robert E. Greene

Share this page *Edited by *
*John Bland; Kang-Tae Kim; Steven G. Krantz*

This book contains contributions by an impressive list of leading
mathematicians. The articles include high-level survey and research papers
exploring contemporary issues in geometric analysis, differential geometry, and
several complex variables. Many of the articles will provide graduate students
with a good entry point into important areas of modern research.

The material is intended for researchers and graduate students interested in
several complex variables and complex geometry.

#### Readership

Graduate students and research mathematicians interested in several complex variables and complex geometry.

# Table of Contents

## Explorations in Complex and Riemannian Geometry: A Volume Dedicated to Robert E. Greene

- Contents v6 free
- Preface vii8 free
- Bergman kernels related to Hermitian line bundles over compact complex manifolds 110 free
- A gentle introduction to points of finite type on real hypersurfaces 1928
- The moduli space of 2-step nilpotent Lie algebras of type (p, q) 3746
- The homotopy principle in complex analysis: A survey 7382
- Finiteness theorems in riemannian geometry 101110
- Generalized Toponogov's theorem for manifolds with radial curvature bounded below 121130
- The global isometric embedding problem 131140
- The Bergman metric invariants and their boundary behavior 139148
- Natural connections in almost complex manifolds 153162
- The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type 171180
- Subelliptic estimates and scaling in the ∂-Neumann problem 197206
- Negativity of curvature on spaces parametrizing Hodge decompositions of reduced first cohomology groups 219228
- On the extension of L2 holomorphic functions VI — a limiting case 235244
- Variations on a theme of Synge 241250
- Mappings between real submanifolds in complex space 253262
- Harmonic analysis on toric varieties 267276
- On complex manifolds with noncompact automorphism groups 287296
- Kähler manifolds with slightly positive bisectional curvature 305314