4 citations · 4 across the 4 of their papers we have counts for
6 papers
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…
On a multi-particle Moser-Trudinger Inequality
Hao Fang
We verify a conjecture of Gillet-Soulé. We prove that the determinant of the Laplacian on a line bundle over is always bounded from above. This can also be viewed…
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…
On the Mean Curvature Flow for -Convex Hypersurfaces
Hao Fang, ChangYou Wang
We obtain estimates on both size and dimensions of the singular set at the first blow-up time of the mean curvature flow of hypersurfaces whose initial data is -convex.
Equivariant spectral flow and a Lefschetz theorem on odd dimensional spin manifolds
Hao Fang
A notion of equivariant spectral flows for families of self-dual elliptic operators on Riemannian manifolds is purposed. As a consequence, a local version of a Lefschetz fix point…
Analytic Torsion and R-Torsion for Manifolds with Boundary
Xianzhe Dai, Hao Fang
We prove a formula relating the analytic torsion and Reidemeister torsion on manifolds with boundary in the general case when the metric is not necessarily a product near the bound…