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杨建平 (数学家).
杨建平 (英語:Paul C. Yang, 1947年—)是一位美国华裔数学家,普林斯顿大学数学教授。专供于微分几何和偏微分方程。
生平
1947年出生在台湾彰化市,1973年在几何学家美籍华裔数学家伍鸿熙指导下拿到加州大学伯克利分校博士学位。[1]毕业之后曾在莱斯大学、马里兰大学学院市分校、印第安纳大学和南加州大学先后任教,2001年加入普林斯顿大学。[2]
他最为知名的是共形几何、极值度量、数量曲率以及Q-curvature。
荣誉
1981年获得艾尔弗·斯隆基金[3] 2012年被选为美国数学学会会士。[4]
著作
- Chang, Sun-Yung A.; Yang, Paul C. Conformal deformation of metrics on
. J. Differential Geom. 27 (1988), no. 2, 259–296.
- Chang, Sun-Yung A.; Yang, Paul C. Prescribing Gaussian curvature on
. Acta Math. 159 (1987), no. 3-4, 215–259.
- Chang, Sun-Yung A.; Yang, Paul C. Extremal metrics of zeta function determinants on 4-manifolds. Ann. of Math. (2) 142 (1995), no. 1, 171–212.
- Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C. The scalar curvature equation on 2- and 3-spheres. Calc. Var. Partial Differential Equations 1 (1993), no. 2, 205–229.
- Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C. An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature. Ann. of Math. (2) 155 (2002), no. 3, 709–787.
- Yang, Paul C.; Yau, Shing-Tung Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 7 (1980), no. 1, 55–63.
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