Hongyan Tang

activity

20062019

collaborators

3 papers

math.DG2019

Metrics On A Surface With Bounded Total Curvature

Yuxiang Li, Jianxin Sun, Hongyan Tang

Let $g = e^{2 u} (d x^{2} + d y^{2})$ be a conformal metric defined on the unit disk of $C$ . We give an estimate of $∥\nabla u ∥_{L^{2, \infty} (D_{\frac{1}{2}})}$ when $∥ K (g) ∥_{L^{1}}$ …

math.DG2017

Metrics On $S^{2}$ With Bounded $∥ K_{g} ∥_{L^{1} l o g L^{1}}$ And Small $∥ K_{g} - 1 ∥_{L^{1}}$

Yuxiang Li, Hongyan Tang

In this short paper, we will study the convergence of a metric sequence $g_{k}$ on $S^{2}$ with bounded $\int ∣ K_{g_{k}} ∣ lo g (1 + ∣ K_{g_{k}} ∣) d μ_{g_{k}}$ and small $\int ∣ K (g_{k}) - 1∥ d μ_{g_{k}}$ . We…

math.DG2006

An intrinsic proof of Gromoll-Grove diameter rigidity theorem

Jianguo Cao, Hongyan Tang

We will present a new proof of the Gromoll-Grove diameter rigidity theorem.

Metrics On A Surface With Bounded Total Curvature

Metrics On S2 With Bounded ∥Kg​∥L1logL1​ And Small ∥Kg​−1∥L1​

An intrinsic proof of Gromoll-Grove diameter rigidity theorem

Metrics On $S^{2}$ With Bounded $∥ K_{g} ∥_{L^{1} l o g L^{1}}$ And Small $∥ K_{g} - 1 ∥_{L^{1}}$