蔡明亮(上海科技大學數學科學研究所常任正教授)

基本介紹

• 中文名：蔡明亮 
• 職業：正教授 
• 畢業院校：賓夕法尼亞大學 
• 代表作品：Ends of Riemannian manifolds with nonnegative Ricci curvature outside a compact set 

研究方向

微分幾何，數學相對論

個人簡介

1978.10-1982.07，江蘇師範大學（原徐州師範學院），本科

1982.09-1985.07，南京大學，碩士研究生

1985.09-1991.05，賓夕法尼亞大學，博士研究生

1991.08-1997.07，邁阿密大學，助理教授

1997.07–至今，邁阿密大學，副教授

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

主要研究內容

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

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.

2. A splitting theorem for manifolds of almost nonnegative Ricci curvature. Ann. Global Analysis and Geometry. 11 (1993), P. 373-385.

3. On Gromov's large Riemannian manifolds, Geometriae Dedicata. 50 (1994), P. 37-45.

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.

5. (with G. Galloway) Rigidity of tori in 3-manifolds of non-negative Scalar Curvature. Comm. Anal. Geom. 8(2000), p. 565-573.

6. (with G. Galloway) Boundaries of zero scalar curvature in the Ads/CFT correspondence. Adv. Theor. Math. Phys. 3 (2000), no. 6, 1769-1783.

7. (with G. Galloway) On the topology and area of black holes. Classical Quantum Gravity 18 (2001), no. 14, 2707-2718.

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.

9. (with Lars Anderson and Greg Galloway) Rigidity and positivity of mass for asymptotic hyperbolic manifolds. Ann. Henri Poncare, 9(2008) 1-33.

10. On rigidity of gradient shrinking Ricci soliton of nonnegative sectional curvature. Pacific Journal of Mathematics, 271(2015), 61-76