Shiing-shen Chern: 1911–2004

Wu, H.

doi:10.1090/S0273-0979-08-01219-6

Shiing-shen Chern: 1911–2004

Author: H. Wu
Journal: Bull. Amer. Math. Soc. 46 (2009), 327-338
MSC (2000): Primary 53-02, 53-03, 01A60
DOI: https://doi.org/10.1090/S0273-0979-08-01219-6
Published electronically: July 1, 2008
MathSciNet review: 2476416
Full-text PDF Free Access

Carl B. Allendoerfer and André Weil, The Gauss-Bonnet theorem for Riemannian polyhedra, Trans. Amer. Math. Soc. 53 (1943), 101–129. MR 7627, DOI https://doi.org/10.1090/S0002-9947-1943-0007627-9
Raoul Bott and S. S. Chern, Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections, Acta Math. 114 (1965), 71–112. MR 185607, DOI https://doi.org/10.1007/BF02391818
Shiing-shen Chern, On integral geometry in Klein spaces, Ann. of Math. (2) 43 (1942), 178–189. MR 6075, DOI https://doi.org/10.2307/1968888
Shiing-shen Chern, The geometry of isotropic surfaces, Ann. of Math. (2) 43 (1942), 545–559. MR 6477, DOI https://doi.org/10.2307/1968810
Shiing-shen Chern, A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds, Ann. of Math. (2) 45 (1944), 747–752. MR 11027, DOI https://doi.org/10.2307/1969302
Shiing-shen Chern, Characteristic classes of Hermitian manifolds, Ann. of Math. (2) 47 (1946), 85–121. MR 15793, DOI https://doi.org/10.2307/1969037
Shiing-Shen Chern, Some new viewpoints in differential geometry in the large, Bull. Amer. Math. Soc. 52 (1946), 1–30. MR 21706, DOI https://doi.org/10.1090/S0002-9904-1946-08487-6
Shiing-shen Chern, The integrated form of the first main theorem for complex analytic mappings in several complex variables, Ann. of Math. (2) 71 (1960), 536–551. MR 125979, DOI https://doi.org/10.2307/1969943
S. S. Chern and J. K. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133 (1974), 219–271. MR 425155, DOI https://doi.org/10.1007/BF02392146
Shiing Shen Chern and James Simons, Characteristic forms and geometric invariants, Ann. of Math. (2) 99 (1974), 48–69. MR 353327, DOI https://doi.org/10.2307/1971013
F. Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 9, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1956 (German). MR 0082174
W. V. D. Hodge, The characteristic classes on algebraic varieties, Proc. London Math. Soc. (3) 1 (1951), 138–151. MR 44165, DOI https://doi.org/10.1112/plms/s3-1.1.138
John W. Milnor and James D. Stasheff, Characteristic classes, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1974. Annals of Mathematics Studies, No. 76. MR 0440554
L. Pontrjagin, On some topologic invariants of Riemannian manifolds, C. R. (Doklady) Acad. Sci. URSS (N. S.) 43 (1944), 91–94. MR 0011547
L. S. Pontryagin, Some topological invariants of closed Riemannian manifolds, Izvestiya Akad. Nauk SSSR. Ser. Mat. 13 (1949), 125–162 (Russian). MR 0030196
Shiing Shen Chern, Selected papers, Springer-Verlag, New York-Heidelberg, 1978. With a foreword by H. Wu [Hung Hsi Wu] and introductory articles by André Weil and Phillip A. Griffiths. MR 514211

17 A. Weil, Oeuvres Scientifiques/Collected Papers, Volume 1 (1926-1951), Springer-Verlag, New York-Berlin-Heidelberg, 1979.

18 H. Wu, S. S. Chern, the Berkeley years, In Shiing-shen Chern Memorial volume (in Chinese), S. T. Yau, K. Liu, L. Ji, (eds.) Zhejiang University Press, China, 2005. (English translation in preparation.)

19 H. Wu, Historical development of the Gauss-Bonnet theorem, Science in China, Series A, Mathematics, 51 (2008), 777–784.