Shiing-shen Chern: 1911–2004

DOI10.1090/S0273-0979-08-01219-6zbMath1180.53003OpenAlexW1983353536MaRDI QIDQ3623563

Hung-Hsi Wu

Publication date: 21 April 2009

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-08-01219-6

zbMATH Keywords

Gauss-Bonnet theoremChern classesChern

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of differential geometry (53-03) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

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Cites Work

• Historical development of the Gauss-Bonnet theorem
• Real hypersurfaces in complex manifolds
• Characteristic forms and geometric invariants
• The integrated form of the first main theorem for complex analytic mappings in several complex variables
• On integral geometry in Klein spaces
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
• The geometry of isotropic surfaces
• Characteristic classes of Hermitian manifolds
• Characteristic Classes. (AM-76)
• The Characteristic Classes on Algebraic Varieties
• The Gauss-Bonnet Theorem for Riemannian Polyhedra
• Some new viewpoints in differential geometry in the large
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