Shiing-shen Chern: 1911–2004
HTML articles powered by AMS MathViewer
- by H. Wu PDF
- Bull. Amer. Math. Soc. 46 (2009), 327-338 Request permission
References
- Carl B. Allendoerfer and André Weil, The Gauss-Bonnet theorem for Riemannian polyhedra, Trans. Amer. Math. Soc. 53 (1943), 101–129. MR 7627, DOI 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 10.1007/BF02391818
- Shiing-shen Chern, On integral geometry in Klein spaces, Ann. of Math. (2) 43 (1942), 178–189. MR 6075, DOI 10.2307/1968888
- Shiing-shen Chern, The geometry of isotropic surfaces, Ann. of Math. (2) 43 (1942), 545–559. MR 6477, DOI 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 10.2307/1969302
- Shiing-shen Chern, Characteristic classes of Hermitian manifolds, Ann. of Math. (2) 47 (1946), 85–121. MR 15793, DOI 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 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 10.2307/1969943
- S. S. Chern and J. K. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133 (1974), 219–271. MR 425155, DOI 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 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 10.1112/plms/s3-1.1.138
- John W. Milnor and James D. Stasheff, Characteristic classes, Annals of Mathematics Studies, No. 76, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1974. 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.
Additional Information
- H. Wu
- Affiliation: Department of Mathematics, #3840, University of California at Berkeley, Berkeley, California 94720-3840
- Email: wu@math.berkeley.edu
- Received by editor(s): March 15, 2006
- Received by editor(s) in revised form: March 22, 2008
- Published electronically: July 1, 2008
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 2476416