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

• Pubblicazione: Hackensack, NJ, : World Scientific, c2006
• Descrizione fisica: 1 online resource (528 p.)
• Disciplina: 516
• Soggetto topico: Geometry; Geometry, Differential
• Classificazione: 31.52
• Altri autori: GriffithsPhillip <1938-> ChernShiing-Shen <1911-2004.>
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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
• Sommario/riassunto: 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
• Titolo autorizzato: Inspired by S.S. Chern
• ISBN: 1-281-92441-5; 9786611924416; 981-277-268-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910784791503321
• Lo trovi qui: Univ. Federico II
• Serie: Nankai tracts in mathematics ; ; v. 11.