理查德·舍恩
理查德·舍恩 Richard Schoen | |
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理查德·舍恩 (乔治·伯格曼摄) | |
出生 | 美国俄亥俄州里卡弗里堡[1] | 1950年10月23日
国籍 | 美国 |
母校 | 斯坦福大学 |
知名于 | 微分球定理 舍恩–丘猜想 解决正质量猜想 |
奖项 | 博谢纪念奖 (1989) 沃尔夫数学奖 (2017) Heinz Hopf Prize (2017) Lobachevsky Prize (2017)[2] 罗尔夫·朔克奖 (2017)[3] |
科学生涯 | |
研究领域 | 数学 |
机构 | 斯坦福大学 加州大学伯克利分校 加州大学欧文分校 |
博士導師 | Leon Simon 丘成桐 |
博士生 | Hubert Bray José F. Escobar Ailana Fraser William Minicozzi André Neves |
理查德·梅尔文·舍恩(英語:Richard Melvin Schoen,1950年10月23日—),美国数学家,研究领域为微分几何。目前是加州大学欧文分校的教授。
生平
舍恩出生于俄亥俄州塞莱纳,1968年毕业于里卡弗里堡高中(Fort Recovery High School)。本科毕业于戴顿大学数学专业。1977年获得斯坦福大学博士学位。
部分出版物
- Schoen, Richard M.; Simon, Leon; Yau, Shing-Tung, Curvature estimates for minimal hypersurfaces, Acta Mathematica, 1975, 134 (3-4): 275–288, MR 0423263, doi:10.1007/bf02392104
- Schoen, Richard M.; Yau, Shing-Tung, On the proof of the positive mass conjecture in general relativity, Communications in Mathematical Physics, 1979, 65 (1): 45–76, Bibcode:1979CMaPh..65...45S, MR 0526976, doi:10.1007/bf01940959
- Fischer-Colbrie, Doris; Schoen, Richard M., The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature, Communications on Pure and Applied Mathematics, 1980, 33 (2): 199–211, MR 0562550, doi:10.1002/cpa.3160330206
- Schoen, Richard M.; Yau, Shing-Tung, Proof of the positive mass theorem. II, Communications in Mathematical Physics, 1981, 79 (2): 231–260, Bibcode:1981CMaPh..79..231S, MR 0612249, doi:10.1007/bf01942062
- Schoen, Richard M.; Uhlenbeck, Karen, A regularity theory for harmonic maps, Journal of Differential Geometry, 1982, 17 (2): 307–335, MR 0664498
- Schoen, Richard M., Conformal deformation of a Riemannian metric to constant scalar curvature, Journal of Differential Geometry, 1984, 20 (2): 479–495, MR 0788292
- Gromov, Mikhael; Schoen, Richard M., Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one, Institut des Hautes Études Scientifiques. Publications Mathématiques, 1992, 76: 165–246, MR 1215595, doi:10.1007/bf02699433
- Schoen, Richard M.; Wolfson, Jon, Minimizing area among Lagrangian surfaces: the mapping problem, Journal of Differential Geometry, 2001, 58 (1): 1–86, MR 1895348
- Brendle, Simon; Schoen, Richard M., Manifolds with 1/4-pinched curvature are space forms, Journal of the AMS, 2009, 22 (1): 287–307, Bibcode:2009JAMS...22..287B, MR 2449060, arXiv:0705.0766 , doi:10.1090/s0894-0347-08-00613-9
参考文献
- ^ Richard Melvin Schoen. School of Mathematics and Statistics University of St Andrews, Scotland. [6 January 2017].
- ^ http://kpfu.ru/eng/news-eng/richard-schoen-lobachevsky-medal-2017.html
- ^ http://www.rolfschockprizes.se/download/18.39ee338a159fb6d5d78e05/1489565086195/pop_matematik_en_170314_FINAL.pdf
外部链接
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