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Inspired by S S Chern: A Memorial Volume in Honor of a Great Mathematician

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More About This Textbook

Overview

Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute of Academia Sinica in Shanghai, which was later moved to Nanking. In 1981, he founded the Mathematical Sciences Research institute (MSRI) at Berkeley and acted as the director until 1984. In 1985 he founded the Nankai Institute of Mathematics in Tianjin. He was awarded the National Medal of Science in 1975; the Wolf Prize in mathematics in 1984; and the Shaw Prize in mathematical sciences in 2004.

Chern's works span all the classic fields of differential geometry: the Chern-Simons theory; the Chern-Weil theory, linking curvature invariants to characteristic classes; Chern classes; and other areas such as projective differential geometry and webs that are mathematically rich but currently have a lower profile. He also published work in integral geometry, value distribution theory of holomorphic functions, and minimal submanifolds.

Inspired by Chern and his work, former colleagues, students and friends - themselves highly regarded mathematicians in their own right - come together to honor and celebrate Chern's huge contributions. The volume, organized by Phillip Griffiths of the Institute for Advanced Study (Princeton), contains papers in areas of mathematics related to the interests of Chern.

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Product Details

  • ISBN-13: 9789812700629
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 11/28/2006
  • Series: Nankai Tracts in Mathematics Series
  • Pages: 528
  • Product dimensions: 6.10 (w) x 8.90 (h) x 1.10 (d)

Table of Contents


Preface     v
Introduction     vii
In Memory of Professor S. S. Chern   C. N. Yang     1
Twisted K-Theory and Cohomology   M. Atiyah     5
Yangian and Its Applications   C.-M. Bai   M.-L. Ge   K. Xue     45
Geodesically Reversible Finsler 2-Spheres of Constant Curvature   R. L. Bryant     95
Multiple Solutions of the Prescribed Mean Curvature Equation   K. C. Chang   T. Zhang     113
On the Differentiability of Lipschitz Maps from Metric Measure Spaces to Banach Spaces   J. Cheeger   B. Kleiner     129
Two-Forms on Four-Manifolds and Elliptic Equations   S. K. Donaldson     153
Partial Connection for p-Torsion Line Bundles in Characteristic p > 0   H. Esnault     173
Algebraic Cycles and Singularities of Normal Functions, II   M. Green   P. Griffiths     179
Planar Web Geometry Through Abelian Relations and Singularities   A. Henaut     269
Transitive Analytic Lie Pseudo-Groups   N. Kamran     297
Stability of Closed Characteristics on Compact Convex Hypersurfaces   Y. Long   W. Wang     313
[eta]-Invariant and Flat Vector Bundles II   X. Ma   W. Zhang     335
On Planar Webs with Infinitesimal Automorphisms   D. Marin   J. V. Pereira   L. Pirio     351
Projective Linking and Boundaries of Positive Holomorphic Chains in Projective Manifolds, Part II   F. R. Harvey   H. B. Lawson, Jr.     365
Aspects of Metric Geometry of Four Manifolds   G. Tian     381
Algebrisation des tissus de codimension 1: la generalisation d'un theoreme de Bol   J.-M. Trepreau     399
Conformal Geometry and Fully Nonlinear Equations   J. Viaclovsky     435
Memory of My First Research Teacher: The Great Geometer Chern Shiing-Shen   W. Wu     461
Some Open Gromov-Witten Invariants of the Resolved Conifold   J. Zhou     487
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