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- Publications
- Influence
On The Ricci Curvature of a Compact Kahler Manifold and the Complex Monge-Ampere Equation, I*
- Shing-Tung Yau
- Mathematics
- 1 May 1978
Therefore a necessary condition for a (1,l) form ( G I a ' r r ) I,,, Rlr dz' A d? to be the Ricci form of some Kahler metric is that it must be closed and its cohomology class must represent the… Expand
On the parabolic kernel of the Schrödinger operator
- P. Li, Shing-Tung Yau
- Mathematics
- 1 July 1986
Etude des equations paraboliques du type (Δ−q/x,t)−∂/∂t)u(x,t)=0 sur une variete riemannienne generale. Introduction. Estimations de gradients. Inegalites de Harnack. Majorations et minorations des… Expand
On the existence of hermitian‐yang‐mills connections in stable vector bundles
- Karen K. Uhlenbeck, Shing-Tung Yau
- Mathematics
- 1986
Differential equations on riemannian manifolds and their geometric applications
- Shiu-Yuen Cheng, Shing-Tung Yau
- Mathematics
- 1 May 1975
A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
- P. Li, Shing-Tung Yau
- Mathematics
- 1 June 1982
Let M be a compact Riemannian manifold with a fixed conformal structure. Then we introduce the concept of conformal volume of M in the following manner. For each branched conformal immersion q9 of M… Expand
On the Schrödinger equation and the eigenvalue problem
- P. Li, Shing-Tung Yau
- Mathematics
- 1 September 1983
AbstractIf λk is thekth eigenvalue for the Dirichlet boundary problem on a bounded domain in ℝn, H. Weyl's asymptotic formula asserts that
$$\lambda _k \sim C_n \left( {\frac{k}{{V(D)}}}… Expand
On the existence of a complete Kähler metric on non‐compact complex manifolds and the regularity of fefferman's equation
- Shiu-Yuen Cheng, Shing-Tung Yau
- Mathematics
- 1 July 1980
Hypersurfaces with constant scalar curvature
- Shiu-Yuen Cheng, Shing-Tung Yau
- Mathematics
- 1 October 1977
Let M be a complete two-dimensional surface immersed into the three-dimensional Euclidean space. Then a classical theorem of Hilbert says that when the curvature of M is a non-zero constant, M must… Expand