Inspired by S.S. Chern : a memorial volume in honor of a great mathematician / editor, Phillip A. Griffiths.

Format:

Book

Contributor:

Griffiths, Phillip, 1938-

Chern, Shiing-Shen, 1911-2004

Elsie de Renzo Orlando Fund.

Series:

Nankai tracts in mathematics ; v. 11.

Nankai tracts in mathematics ; v. 11

Language:

English

French

Subjects (All):

Geometry.

Geometry, Differential.

Chern, Shiing-Shen, 1911-2004.

Chern, Shiing-Shen.

Genre:

Festschriften.

Physical Description:

xii, 513 pages, 1 unnumbered page-out leaf of plates : illustrations (some color) ; 23 cm.

Place of Publication:

Hackensack, NJ : World Scientific, [2006]

Language Note:

Papers in English; one paper in French.

Summary:

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. Book jacket.

Contents:

Chapter 1 In Memory of Professor S. S. Chern / C. N. Yang 1

Chapter 2 Twisted K-Theory and Cohomology / M. Atiyah 5

Chapter 3 Yangian and Its Applications / C.-M. Bai, M.-L. Ge, K. Xue 45

Chapter 4 Geodesically Reversible Finsler 2-Spheres of Constant Curvature / R. L. Bryant 95

Chapter 5 Multiple Solutions of the Prescribed Mean Curvature Equation / K. C. Chang, T. Zhang 113

Chapter 6 On the Differentiability of Lipschitz Maps from Metric Measure Spaces to Banach Spaces / J. Cheeger, B. Kleiner 129

Chapter 7 Two-Forms on Four-Manifolds and Elliptic Equations / S. K. Donaldson 153

Chapter 8 Partial Cormection for p-Torsion Line Bundles in Characteristic p > 0 / H. Esnault 173

Chapter 9 Algebraic Cycles and Singularities of Normal Functions, II / M. Green, P. Griffiths 179

Chapter 10 Planar Web Geometry Through Abelian Relations and Singularities / A. Henaut 269

Chapter 11 Transitive Analytic Lie Pseudo-Groups / N. Kamran 297

Chapter 12 Stability of Closed Characteristics on Compact Convex Hypersurfaces / Y. Long and W. Wang 313

Chapter 13 [eta]-Invariant and Flat Vector Bundles II / X. Ma, W. Zhang 335

Chapter 14 On Planar Webs with Infinitesimal Automorphisms / D. Marin, J. V. Pereira, L. Pirio 351

Chapter 15 Projective Linking and Boundaries of Positive Holomorphic Chains in Projective Manifolds, Part II / F. R. Harvey, H. B. Lawson, Jr. 365

Chapter 16 Aspects of Metric Geometry of Four Manifolds / G. Tian 381

Chapter 17 Algebrisation des tissus de codimension 1: la generalisation d'un theoreme de Bol / J.-M. Trepreau 399

Chapter 18 Conformal Geometry and Fully Nonlinear Equations / J. Viaclovsky 435

Chapter 19 Memory of My First Research Teacher: The Great Geometer Chern Shiing-Shen / W. Wu 461

Chapter 20 Some Open Gromov-Witten Invariants of the Resolved Conifold / J. Zhou 487.

Notes:

Includes bibliographical references.

Local Notes:

Acquired for the Penn Libraries with assistance from the Elsie de Renzo Orlando Fund.

ISBN:

9812700625

9789812700629

9812700617

9789812700612

OCLC:

82175211