13 citations · 66 across the 43 of their papers we have counts for
6 papers · 1 filter
Higher-degree Smoothness of Perturbations I
Gang Liu
This paper was originated from overcoming the analytic difficulty in our method for constructing virtual moduli cycles in Gromov-Witten/Floer theory using global perturbations. We…
Harmonic pre-Schwarzian and its applications
Gang Liu, Saminathan Ponnusamy
The primary aim of this article is to extend certain inequalities concerning the pre-Schwarzian derivatives from the case of analytic univalent functions to that of univalent harmo…
On Harmonic -Bloch and -Bloch-type mappings
Gang Liu, Saminathan Ponnusamy
The aim of this paper is twofold. One is to introduce the class of harmonic -Bloch-type mappings as a generalization of harmonic -Bloch mappings and thereby we generalize som…
Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm
Gang Liu, Saminathan Ponnusamy
In this paper, we consider the class of uniformly locally univalent harmonic mappings in the unit disk and build a relationship between its pre-Schwarzian norm and uniformly hyperb…
Compactification of certain Kähler manifolds with nonnegative Ricci curvature
Gang Liu
We prove compactification theorems for some complete Kähler manifolds with nonnegative Ricci curvature. Among other things, we prove that a complete noncompact Kähler Ricci flat ma…
Diameter Rigidity for Kähler manifolds with positive bisectional curvature
Gang Liu, Yuan Yuan
Let be a compact Kähler manifold with bisectional curvature bounded from below by . If and , we prove tha…