activity
20132021
most citedApproximation of weak geodesics and subharmonicity of Mabuchi energy

20 citations · 42 across the 12 of their papers we have counts for

collaborators

12 papers

math.SP2021

Cantor Spectrum for CMV Matrices With Almost Periodic Verblunsky Coefficients

Long Li, David Damanik, Qi Zhou

We consider extended CMV matrices with analytic quasi-periodic Verblunsky coefficients with Diophantine frequency vector in the perturbatively small coupling constant regime and pr…

math.DG2021

Approximation of weak geodesics and subharmonicity of Mabuchi energy, II: -geodesics

Long Li

The purpose of this article is to study the strict convexity of the Mabuchi functional along a -geodesic, with the aid of the -geodesics. We proved the -convergenc…

math.DG2019

The Lelong number, the Monge-Ampère mass and the Schwarz symmetrization of plurisubharmonic functions

Long Li

The aim of this paper is to study the Lelong number, the integrability index and the Monge-Ampère mass at the origin of an -invariant plurisubharmonic function on a balanced d…

math.DG2018★ 3 cited

Conic singularities metrics with prescribed scalar curvature: a priori estimates for normal crossing divisors

Long Li, Jian Wang, Kai Zheng

The purpose of this paper is to prove the a priori estimates for constant scalar curvature Kaehler metrics with conic singularities along normal crossing divisors. The zero order…

math.DG2017

Strict convexity of the Mabuchi functional for energy minimizers

Long Li

There are two parts of this paper. First, we discovered an explicit formula for the complex Hessian of the weighted log-Bergman kernel on a parallelogram domain, and utilised this…

math.DG2017

Regularization of plurisubharmonic functions with a net of good points

Long Li

The purpose of this article is to present a new regularization technique of quasi-plurisubharmoinc functions on a compact Kaehler manifold. The idea is to regularize the function o…