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.

Series:

Nankai tracts in mathematics ; v. 11.

Nankai tracts in mathematics ; v. 11

Language:

English

Subjects (All):

Geometry.

Geometry, Differential.

Chern, Shiing-Shen, 1911-2004.

Chern, Shiing-Shen.

Physical Description:

1 online resource (528 p.)

Edition:

1st ed.

Place of Publication:

Hackensack, NJ : World Scientific, c2006.

Language Note:

English

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 di

Contents:

CONTENTS ; Preface ; Introduction ; Chapter 1: In Memory of Professor S. S. Chern ; Chapter 2: Twisted K-Theory and Cohomology ; 1. Introduction ; 2. The Action of the Automorphism Group ; 3. The Universal Fibration ; 4. The Atiyah-Hirzebruch Spectral Sequence

5. The Higher Differentials 6. Twisted Cohomology ; 7. The Chern Character ; 8. Chern Classes ; 9. Koschorke Classes ; 10. Operations in Twisted K-Theory ; 11. Appendix ; References ; Chapter 3: Yangian and Its Applications ; 1. Introduction ; 2. Yangian and RTT Relations

3. Applications of Yangian 4. Remarks ; Acknowledgement ; References ; Chapter 4: Geodesically Reversible Finsler 2-Spheres of Constant Curvature ; 1. Introduction ; 2. Structure Equations ; 3. A Double Fibration ; 4. Classification ; References

Chapter 5: Multiple Solutions of the Prescribed Mean Curvature Equation Part 1 ; Part 2 ; References ; Chapter 6: On the Differentiability of Lipschitz Maps from Metric Measure Spaces to Banach Spaces ; 1. Introduction ; 2. Finite Dimensional Approximations and Weak Derivatives

3. Good Finite Dimensional Approximations 4. Differentiability for GFDA Targets ; 5. Bi-Lipschitz (Non)embedding for GFDA Targets ; 6. Appendix: Carnot Groups and Radon-Nikodym Targets ; References ; Chapter 7: Two-Forms on Four-Manifolds and Elliptic Equations ; 1. Background

2. A Class of Elliptic PDE

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611924416

9781281924414

1281924415

9789812772688

9812772685

OCLC:

820942629