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Contemporary Geometry

J.-Q. Zhong Memorial Volume

  • Book
  • © 1991

Overview

Editors:
  1. Hung-Hsi Wu

    1. University of California, Berkeley, USA

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Part of the book series: University Series in Mathematics (USMA)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xi
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  2. Zhong Jia-Qing (1937–1987)

    1. Zhong Jia-Qing (1937–1987)

      • Hung-Hsi Wu
      Pages 1-13

  3. Publications of Zhong Jia-Qing

    1. Publications of Zhong Jia-Qing

      • Hung-Hsi Wu
      Pages 15-17

  4. Surveys of Contemporary Geometry

    1. Front Matter

      Pages 19-19
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    2. Applications of Eigenvalue Techniques to Geometry

      • Peter Li, Andrejs Treibergs
      Pages 21-52

    3. The Theory of Functions of Several Complex Variables in China from 1949 to 1989

      • Qi-Keng Lu
      Pages 53-93

    4. Uniformization in Several Complex Variables

      • Yum-Tong Siu
      Pages 95-130

  5. Selected Papers of Zhong Jia-Qing

    1. Front Matter

      Pages 131-131
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    2. Harmonic Analysis on Rotation Groups: Abel Summability

      • Hung-Hsi Wu
      Pages 133-152

    3. Coxeter-Killing Transformations of Simple Lie Algebras

      • Hung-Hsi Wu
      Pages 153-168

    4. Dimensions of the Rings of Invariant Differential Operators on Bounded Homogeneous Domains

      • Hung-Hsi Wu
      Pages 169-185

    5. On Prime Ideals of the Ring of Differential Operators

      • Hung-Hsi Wu
      Pages 187-212

    6. On the Sum of Class Functions of Weyl Groups

      • Hung-Hsi Wu
      Pages 213-238

    7. The Trace Formula of the Weyl Group Representations of the Symmetric Group

      • Hung-Hsi Wu
      Pages 239-261

    8. Some Types of Nonsymmetric Homogeneous Domains

      • Hung-Hsi Wu
      Pages 263-303

    9. The Extension Spaces of Nonsymmetric Classical Domains

      • Hung-Hsi Wu
      Pages 305-345

    10. Cohomology of Extension Spaces for Classical Domains

      • Hung-Hsi Wu
      Pages 347-366

    11. The Degree of Strong Nondegeneracy of the Bisectional Curvature of Exceptional Bounded Symmetric Domains

      • Hung-Hsi Wu
      Pages 367-375

    12. The Estimate of the First Eigenvalue of a Compact Riemannian Manifold

      • Hung-Hsi Wu
      Pages 377-388

    13. Curvature Characterization of Compact Hermitian Symmetric Spaces

      • Hung-Hsi Wu
      Pages 389-448
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Keywords

About this book

Early one morning in April of 1987, the Chinese mathematician J. -Q. Zhong died unexpectedly of a heart attack in New York. He was then near the end of a one-year visit in the United States. When news of his death reached his Chinese-American friends, it was immediately decided by one and all that something should be done to preserve his memory. The present volume is an outgrowth of this sentiment. His friends in China have also established a Zhong Jia-Qing Memorial Fund, which has since twice awarded the Zhong Jia-Qing prizes for Chinese mathematics graduate students. It is hoped that at least part of the reasons for the esteem and affection in which he was held by all who knew him would come through in the succeeding pages of this volume. The three survey chapters by Li and Treibergs, Lu, and Siu (Chapters 1-3) all center around the areas of mathematics in which Zhong made noteworthy contributions. In addition to putting Zhong's mathematical contributions in perspective, these articles should be useful also to a large segment of the mathematical community; together they give a coherent picture of a sizable portion of contemporary geometry. The survey of Lu differs from the other two in that it gives a firsthand account of the work done in the People's Republic of China in several complex variables in the last four decades.

Editors and Affiliations

  • University of California, Berkeley, USA

    Hung-Hsi Wu

Bibliographic Information

  • Book Title: Contemporary Geometry

  • Book Subtitle: J.-Q. Zhong Memorial Volume

  • Editors: Hung-Hsi Wu

  • Series Title: University Series in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4684-7950-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Plenum Press, New York 1991

  • Hardcover ISBN: 978-0-306-43742-7Due: 31 August 1991

  • Softcover ISBN: 978-1-4684-7952-2Published: 26 April 2012

  • eBook ISBN: 978-1-4684-7950-8Published: 29 June 2013

  • Edition Number: 1

  • Number of Pages: 494

  • Topics: Geometry, Mathematics, general

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