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- S. T. Yau
- Proceedings of the National Academy of Sciencesâ€¦
- 1977

We announce a proof of Calabi's conjectures on the Ricci curvature of a compact KÃ¤hler manifold and then apply it to prove some new results in algebraic geometry and differential geometry. Forâ€¦ (More)

We consider the Einstein/Yang-Mills equations in 3 + 1 space time dimensions with SU(2) gauge group and prove rigorously the existence of a globally defined smooth static solution. We show that theâ€¦ (More)

This note answers some questions on holomorphic curves and their distribution in an algebraic surface of positive index. More specifically, we exploit the existence of natural negatively curvedâ€¦ (More)

- Rolf SchÃ¶n, S. T. Yau
- Proceedings of the National Academy of Sciencesâ€¦
- 1979

We find some integrability conditions for low-dimensional manifolds to admit metrics with nonnegative scalar curvature. In particular, we solve the positive action conjecture in general relativity inâ€¦ (More)

- Frank Pacard, F. Pacard, S. T. Yau
- 1995

This problem has been extensively studied since the pioneering work of R. Schoen [10], who proved that the answer to the above question is positive when Î› consists of finitely many points (at leastâ€¦ (More)

- S. T. Yau, Peter G Vekilov
- Journal of the American Chemical Society
- 2001

Using atomic force microscopy (AFM) in situ during the crystallization of the protein apoferritin from its solution, we imaged the arrangement of the molecules in near-critical clusters, larger orâ€¦ (More)

- Ruediger Schoen, S. T. Yau
- Proceedings of the National Academy of Sciencesâ€¦
- 1978

We study three-dimensional Riemannian manifolds with nonnegative scalar curvature. We find new topological obstruction for such manifolds. Our method turns out to be useful in studying the positiveâ€¦ (More)

- Alexander Klemm, Bin Lian, S. S Roan, S. T. Yau
- 1994

We give close formulas for the counting functions of rational curves on complete intersection Calabi-Yau manifolds in terms of special solutions of generalized hypergeometric differential systems.â€¦ (More)

- Libin Mou, R. E. Greene, S. T. Yau
- 2007

Abstract: By a compactness argument, it was shown that, the boundary regularity theorems of Schoen-Uhlenbeck [A regularity theory for harmonic maps. J. Differential Geom. 17 (1982), no. 2, 307â€“335]â€¦ (More)

- S. T. Yau, Bridge Thomas, O N Galkin, Olga Gliko, Peter G Vekilov
- Proteins
- 2001

We apply in situ atomic force microscopy to the crystallization of ferritins from solutions containing approximately 5% (w/w) of their inherent molecular dimers. Molecular resolution imaging showsâ€¦ (More)