528 citations
- Courant Institute of Mathematical SciencesUS36 papers
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math.DG2004★ 18 cited
The Calabi-Yau conjectures for embedded surfaces
Tobias H. Colding, William P. Minicozzi
In this paper we will prove the Calabi-Yau conjectures for embedded surfaces. In fact, we will prove considerably more. The Calabi-Yau conjectures about surfaces date back to the 1…
math.DG2004
On a Conformal Gauss-Bonnet-Chern inequality for LCF manifolds and related topics
Hao Fang
In this paper, we prove the following two results: First, we study a class of conformally invariant operators and their related conformally invariant curvatures on even-dim…
math.DG2003★ 4 cited
Generalized Hodge Metrics and BCOV torsion on Calabi-Yau Moduli
Hao Fang, Zhiqin Lu
We establish an unexpected relation among the Weil-Petersson metric, the generalized Hodge metrics and the BCOV torsion. Using this relation, we prove that certain kind of moduli s…