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On The Ricci Curvature of a Compact Kahler Manifold and the Complex Monge-Ampere Equation, I*
- S. 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…
On the parabolic kernel of the Schrödinger operator
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…
On the proof of the positive mass conjecture in general relativity
LetM be a space-time whose local mass density is non-negative everywhere. Then we prove that the total mass ofM as viewed from spatial infinity (the ADM mass) must be positive unlessM is the flat…
Mirror symmetry is T duality
- A. Strominger, S. Yau, E. Zaslow
- Mathematics
- 7 June 1996
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
TLDR
Harmonic functions on complete riemannian manifolds
- S. Yau
- Mathematics
- 1 March 1975
Calabi's conjecture and some new results in algebraic geometry.
- S. Yau
- MathematicsProceedings of the National Academy of Sciences…
- 1 May 1977
TLDR
On the existence of hermitian‐yang‐mills connections in stable vector bundles
- Karen K. Uhlenbeck, S. Yau
- Mathematics
- 1986
Differential equations on riemannian manifolds and their geometric applications
- Shiu-yuen Cheng, S. Yau
- Mathematics
- 1 May 1975
Lectures on Differential Geometry
In 1984, the authors gave a series of lectures on differential geometry in the Institute for Advanced Studies in Princeton, USA. These lectures are published in this volume, which describes the major…
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