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
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1. Carl B. Allendoerfer and André Weil, The Gauss-Bonnet theorem for Riemannian polyhedra, Trans. Amer. Math. Soc. 53 (1943), 101–129. MR 7627, https://doi.org/10.1090/S0002-9947-1943-0007627-9
2. 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, https://doi.org/10.1007/BF02391818
3. Shiing-shen Chern, On integral geometry in Klein spaces, Ann. of Math. (2) 43 (1942), 178–189. MR 6075, https://doi.org/10.2307/1968888
4. Shiing-shen Chern, The geometry of isotropic surfaces, Ann. of Math. (2) 43 (1942), 545–559. MR 6477, https://doi.org/10.2307/1968810
5. 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, https://doi.org/10.2307/1969302
6. Shiing-shen Chern, Characteristic classes of Hermitian manifolds, Ann. of Math. (2) 47 (1946), 85–121. MR 15793, https://doi.org/10.2307/1969037
7. Shiing-Shen Chern, Some new viewpoints in differential geometry in the large, Bull. Amer. Math. Soc. 52 (1946), 1–30. MR 21706, https://doi.org/10.1090/S0002-9904-1946-08487-6
8. 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, https://doi.org/10.2307/1969943
9. S. S. Chern and J. K. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133 (1974), 219–271. MR 425155, https://doi.org/10.1007/BF02392146
10. Shiing Shen Chern and James Simons, Characteristic forms and geometric invariants, Ann. of Math. (2) 99 (1974), 48–69. MR 353327, https://doi.org/10.2307/1971013
11. 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
12. W. V. D. Hodge, The characteristic classes on algebraic varieties, Proc. London Math. Soc. (3) 1 (1951), 138–151. MR 0044165, https://doi.org/10.1112/plms/s3-1.1.138
13. 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
14. L. Pontrjagin, On some topologic invariants of Riemannian manifolds, C. R. (Doklady) Acad. Sci. URSS (N. S.) 43 (1944), 91–94. MR 0011547
15. L. S. Pontryagin, Some topological invariants of closed Riemannian manifolds, Izvestiya Akad. Nauk SSSR. Ser. Mat. 13 (1949), 125–162 (Russian). MR 0030196
16. 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.