Explorations in Complex and Riemannian Geometry

by Greene, Robert E.; Bland, John; Kim, Kang-Tae; Krantz, Steven G.

• ISBN13: 9780821832738
• ISBN10: 0821832735
• Format: Paperback
• Copyright: 2003-11-01
• Publisher: Amer Mathematical Society

Summary

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.

Table of Contents

Preface	vii
Bergman kernels related to Hermitian line bundles over compact complex manifolds	1	(18)
Bo Berndtsson
A gentle introduction to points of finite type on real hypersurfaces	19	(18)
John P. D'Angelo
The moduli space of 2-step nilpotent Lie algebras of type (p,q)	37	(36)
Patrick Eberlein
The homotopy principle in complex analysis: A survey	73	(28)
Franc Forstneric
Finiteness theorems in reimannian geometry	101	(20)
Karsten Grove
Generalized Toponogov's theorem for manifolds with radial curvature bounded below	121	(10)
Yoe Itokawa
Yoshiroh Machigshira
Katsuhiro Shiohama
The global isometric embedding problem	131	(8)
Howard Jacobowitz
The Bergman metric invariants and their boundary behavior	139	(14)
Kang-Tae Kim
Steven G. Krantz
Natural connections in almost complex manifolds	153	(18)
Shoshichi Kobayashi
The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type	171	(26)
Shrawan Kumar
Bernhard Leeb
John Millson
Subelliptic estimates and scaling in the ∂-Neumann problem	197	(22)
Jeffery D. McNeal
Negativity of curvature on spaces parametrizing Hodge decompositions of reduced first cohomology groups	219	(16)
Ngaiming Mok
On the extension of L2 holomorphic functions VI --- a limiting case	235	(6)
Takeo Ohsawa
Variations on a theme of Synge	241	(12)
Peter Petersen
Mappings between real submanifolds in complex space	253	(14)
Linda Preiss Rothschild
Harmonic analysis on toric varieties	267	(20)
Bernard Shiffman
Tatsuya Tate
Steve Zelditch
On complex manifolds with noncompact automorphism groups	287	(18)
B. Wong
Kahler maniforlds with slighly positive bisectional curvature	305
Hung-Hsi Wu
Fangyang Zheng