Explorations in complex and Riemannian geometry : a volume dedicated to Robert E. Greene

Bibliographic Information

Explorations in complex and Riemannian geometry : a volume dedicated to Robert E. Greene

John Bland, Kang-Tae Kim, Steven G. Krantz, editors

(Contemporary mathematics, 332)

American Mathematical Society, c2003

Other Title

Complex and Riemannian geometry

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Includes bibliographical references

Description and Table of Contents

Description

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

Bergman kernels related to Hermitian line bundles over compact complex manifolds by B. Berndtsson A gentle introduction to points of finite type on real hypersurfaces by J. P. D'Angelo The moduli space of 2-step nilpotent Lie algebras of type $(p,q)$ by P. Eberlein The homotopy principle in complex analysis: A survey by F. Forstneric Finiteness theorems in riemannian geometry by K. Grove Generalized Toponogov's theorem for manifolds with radial curvature bounded below by Y. Itokawa, Y. Machigashira, and K. Shiohama The global isometric embedding problem by H. Jacobowitz The Bergman metric invariants and their boundary behavior by K.-T. Kim and S. G. Krantz Natural connections in almost complex manifolds by S. Kobayashi The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type by S. Kumar, B. Leeb, and J. Millson Subelliptic estimates and scaling in the $\bar\partial$-Neumann problem by J. D. McNeal Negativity of curvature on spaces parametrizing Hodge decompositions of reduced first cohomology groups by N. Mok On the extension of $L^2$ holomorphic functions VI--A limiting case by T. Ohsawa Variations on a theme of Synge by P. Petersen Mappings between real submanifolds in complex space by L. P. Rothschild Harmonic analysis on toric varieties by B. Shiffman, T. Tate, and S. Zelditch On complex manifolds with noncompact automorphism groups by B. Wong Kahler manifolds with slightly positive bisectional curvature by H.-H. Wu and F. Zheng.

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