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蔡明亮

(上海科技大學數學科學研究所常任正教授)

鎖定
蔡明亮,男,畢業於賓夕法尼亞大學,現任上海科技大學數學科學研究所教授。 [1] 
中文名
蔡明亮 [1] 
畢業院校
賓夕法尼亞大學 [1] 
職    稱
教授 [1] 

蔡明亮研究方向

蔡明亮個人簡介

1978.10-1982.07,江蘇師範大學(原徐州師範學院),本科 [1] 
1982.09-1985.07,南京大學,碩士研究生 [1] 
1985.09-1991.05,賓夕法尼亞大學,博士研究生 [1] 
1991.08-1997.07,邁阿密大學,助理教授 [1] 
1997.07–至今,邁阿密大學,副教授 [1] 
2018.12–至今,上海科技大學,數學科學研究所常任正教授、副所長 [1] 

蔡明亮主要研究內容

具有幾乎非負Ricci 曲率的非緊流形拓撲結構,具有非負數量曲率流形的幾何結構,黑洞拓撲結構,以及漸進平坦、漸進雙曲流形的正質量和剛性問題。 [1] 

蔡明亮代表性論文

1. Ends of Riemannian manifolds with nonnegative Ricci curvature outside a compact set. Bull. Amer. Soc., 2 (1991), P. 371-377. [1] 
2. A splitting theorem for manifolds of almost nonnegative Ricci curvature. Ann. Global Analysis and Geometry. 11 (1993), P. 373-385. [1] 
3. On Gromov's large Riemannian manifolds, Geometriae Dedicata. 50 (1994), P. 37-45. [1] 
4. (With Tobias Colding and DaGang Yang) A gap theorem for ends of open Riemannian manifolds. Proc. Amer. Math. Soci. (123) 1995. P.247-250. [1] 
5. (with G. Galloway) Rigidity of tori in 3-manifolds of non-negative Scalar Curvature. Comm. Anal. Geom. 8(2000), p. 565-573. [1] 
6. (with G. Galloway) Boundaries of zero scalar curvature in the Ads/CFT correspondence. Adv. Theor. Math. Phys. 3 (2000), no. 6, 1769-1783. [1] 
7. (with G. Galloway) On the topology and area of black holes. Classical Quantum Gravity 18 (2001), no. 14, 2707-2718. [1] 
8. Volume Minimizing hypersurfaces in Manifolds of nonnegative scalar curvature. Advnced Studies in Pure Mathematics 34, 2002. Minimal surfaces, Geometric Analysis and Simplectic Geometric. P. 1-7. [1] 
9. (with Lars Anderson and Greg Galloway) Rigidity and positivity of mass for asymptotic hyperbolic manifolds. Ann. Henri Poncare, 9(2008) 1-33. [1] 
10. On rigidity of gradient shrinking Ricci soliton of nonnegative sectional curvature. Pacific Journal of Mathematics, 271(2015), 61-76 [1] 
參考資料