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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
- 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
1982.09-1985.07,南京大學,碩士研究生
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1985.09-1991.05,賓夕法尼亞大學,博士研究生
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1991.08-1997.07,邁阿密大學,助理教授
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1997.07–至今,邁阿密大學,副教授
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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
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蔡明亮主要研究內容
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.
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2. A splitting theorem for manifolds of almost nonnegative Ricci curvature. Ann. Global Analysis and Geometry. 11 (1993), P. 373-385.
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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.
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5. (with G. Galloway) Rigidity of tori in 3-manifolds of non-negative Scalar Curvature. Comm. Anal. Geom. 8(2000), p. 565-573.
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6. (with G. Galloway) Boundaries of zero scalar curvature in the Ads/CFT correspondence. Adv. Theor. Math. Phys. 3 (2000), no. 6, 1769-1783.
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7. (with G. Galloway) On the topology and area of black holes. Classical Quantum Gravity 18 (2001), no. 14, 2707-2718.
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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.
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9. (with Lars Anderson and Greg Galloway) Rigidity and positivity of mass for asymptotic hyperbolic manifolds. Ann. Henri Poncare, 9(2008) 1-33.
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10. On rigidity of gradient shrinking Ricci soliton of nonnegative sectional curvature. Pacific Journal of Mathematics, 271(2015), 61-76
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- 參考資料
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- 1. 蔡明亮 副所長、正教授 .上海科技大學[引用日期2019-03-04]