Shiu-Yuen Cheng
Shiu-Yuen Cheng is a Chinese mathematician from Hong Kong who studies differential geometry .
Cheng received his PhD in 1974 from SS Chern at the University of California, Berkeley (Spectrum of the Laplacian and its Applications to Differential Geometry). He then went to Princeton University and the State University of New York at Stony Brook before becoming a professor at the University of California, Los Angeles (UCLA). He was then a professor at the Hong Kong University of Science and Technology . In 2013 he became a professor at Tsinghua University , where he became director of the Mathematical Sciences Center (MSC) in 2014. In 1977 he received a research grant from the Alfred P. Sloan Foundation ( Sloan Research Fellowship ).
He deals with differential geometry, partial differential equations in geometry and game theory. From him comes a comparison theorem about the eigenvalues of the Laplace-Beltrami operator on Riemannian manifolds (with Dirichlet boundary condition). Depending on the curvature, it provides bounds for the smallest eigenvalue.
In 2012 he became a Fellow of the American Mathematical Society . In 2007 he received the Chern Prize .
Fonts
- Eigenfunctions and eigenvalues of Laplacian, in: Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Stanford Univ., Stanford, Calif., 1973), Part 2, Providence, RI: American Mathematical Society, pp. 185– 193
- Eigenvalue Comparison Theorems and its Geometric Applications, Mathematische Zeitschrift, Volume 143, 1975, pp. 289-297
Web links
Individual evidence
- ↑ Shiu-Yuen Cheng in the Mathematics Genealogy Project (English)
- ↑ MSC Newsletter No. 16, winter 2014
| personal data | |
|---|---|
| SURNAME | Cheng, Shiu-Yuen |
| BRIEF DESCRIPTION | Chinese mathematician |
| DATE OF BIRTH | 20th century |