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Inspired by S.S. Chern : a Memorial Volume in Honor of a Great Mathematician / editor, Phillip A. Griffiths.

Contributor(s): Griffiths, Phillip, 1938- | Chern, Shiing-Shen, 1911-2004Material type: TextTextLanguage: English, French Series: Nankai tracts in mathematics ; v. 11.Publication details: Hackensack, NJ : World Scientific, ©2006. Description: 1 online resource (xii, 513 pages) : illustrations (some color)Content type: text Media type: computer Carrier type: online resourceISBN: 9812772685; 9789812772688; 9812700625; 9789812700629Subject(s): Chern, Shiing-Shen, 1911-2004 | Chern, Shiing-Shen, 1911-2004 | Geometry | Geometry, Differential | MATHEMATICS -- Geometry -- General | Geometry | Geometry, Differential | Geometria diferencial | Análise globalGenre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Inspired by S.S. Chern.DDC classification: 516 LOC classification: QA443 | .I57 2006ebOther classification: 31.52 Online resources: Click here to access online
Contents:
Preface -- Introduction -- ch. 1. In memory of Professor S.S. Chern / C.N. Yang -- ch. 2. Twisted K-theory and cohomology / M. Atiyah -- ch. 3. Yangian and its applications / C.-M. Bai, M.-L. Ge and K. Xue -- ch. 4. Geodesically reversible Finsler 2-spheres of constant curvature / R.L. Bryant -- ch. 5. Multiple solutions of the prescribed mean curvature equation / K.C. Chang and T. Zhang -- ch. 6. On the differentiability of Lipschitz maps from metric measure spaces to Banach spaces / J. Cheeger and B. Kleiner -- ch. 7. Two-forms on four-manifolds and elliptic equations / S.K. Donaldson -- ch. 8. Partial connection for p-torsion line bundles in characteristic p> 0 / H. Esnault -- ch. 9. Algebraic cycles and singularities of normal functions, II / M. Green and P. Griffiths -- ch. 10. Planar web geometry through abelian relations and singularities / A. Hénaut -- ch. 11. Transitive analytic Lie pseudo-groups / N. Kamran -- ch. 12. Stability of closed characteristics on compact convex hypersurfaces / Y. Long and W. Wang -- ch. 13. [symbol]-invariant and flat vector bundles II / X. Ma and W. Zhang -- ch. 14. On planar webs with infinitesimal automorphisms / D. Marín, J.V. Pereira and L. Pirio -- ch. 15. Projective linking and boundaries of positive holomorphic chains in projective manifolds, part II / F.R. Harvey and H.B. Lawson, Jr. -- ch. 16. Aspects of metric geometry of four manifolds / G. Tian -- ch. 17. Algébrisation des tissus de codimension 1: la généralisation d'un théorème de Bol / J.-M. Trépreau -- ch. 18. Conformal geometry and fully nonlinear equations / J. Viaclovsky -- ch. 19. Memory of my first research teacher: the great geometer Chern Shiing-Shen / W. Wu -- ch. 20. Some open Gromov-Witten invariants of the resolved conifold / J. Zhou.
Action note: digitized 2010 committed to preserveSummary: 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 diff.
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Includes bibliographical references.

Papers in English; one paper in French.

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Preface -- Introduction -- ch. 1. In memory of Professor S.S. Chern / C.N. Yang -- ch. 2. Twisted K-theory and cohomology / M. Atiyah -- ch. 3. Yangian and its applications / C.-M. Bai, M.-L. Ge and K. Xue -- ch. 4. Geodesically reversible Finsler 2-spheres of constant curvature / R.L. Bryant -- ch. 5. Multiple solutions of the prescribed mean curvature equation / K.C. Chang and T. Zhang -- ch. 6. On the differentiability of Lipschitz maps from metric measure spaces to Banach spaces / J. Cheeger and B. Kleiner -- ch. 7. Two-forms on four-manifolds and elliptic equations / S.K. Donaldson -- ch. 8. Partial connection for p-torsion line bundles in characteristic p> 0 / H. Esnault -- ch. 9. Algebraic cycles and singularities of normal functions, II / M. Green and P. Griffiths -- ch. 10. Planar web geometry through abelian relations and singularities / A. Hénaut -- ch. 11. Transitive analytic Lie pseudo-groups / N. Kamran -- ch. 12. Stability of closed characteristics on compact convex hypersurfaces / Y. Long and W. Wang -- ch. 13. [symbol]-invariant and flat vector bundles II / X. Ma and W. Zhang -- ch. 14. On planar webs with infinitesimal automorphisms / D. Marín, J.V. Pereira and L. Pirio -- ch. 15. Projective linking and boundaries of positive holomorphic chains in projective manifolds, part II / F.R. Harvey and H.B. Lawson, Jr. -- ch. 16. Aspects of metric geometry of four manifolds / G. Tian -- ch. 17. Algébrisation des tissus de codimension 1: la généralisation d'un théorème de Bol / J.-M. Trépreau -- ch. 18. Conformal geometry and fully nonlinear equations / J. Viaclovsky -- ch. 19. Memory of my first research teacher: the great geometer Chern Shiing-Shen / W. Wu -- ch. 20. Some open Gromov-Witten invariants of the resolved conifold / J. Zhou.

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 diff.

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