A mathematician and his mathematical work : selected papers of S.S. Chern

書誌事項

A mathematician and his mathematical work : selected papers of S.S. Chern

edited by S.Y. Cheng, P. Li, G. Tian

(World Scientific series in 20th century mathematics, vol. 4)

World Scientific, c1996

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内容説明・目次

内容説明

This volume is about the life and work of Shiing-Shen Chern (1911-), one of the leading mathematicians of this century. The book contains personal accounts by some friends, together with a summary of the mathematical works by Chern himself. Besides a selection of the mathematical papers the book also contains all his papers published after 1988.

目次

  • The life and mathematics of S.S. Chern
  • on integral geometry in Klein spaces
  • a simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
  • a theorem on orientable surfaces in four-dimensional space
  • Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections
  • intrinsic norms on a complex manifold
  • characteristic forms and geometrical invariants
  • Dupin submanifolds in Lie sphere geometry
  • an introduction to Dupin submanifolds
  • transgression in associated bundles
  • on a notable connection in Finsler geometry. (Part contents).

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