26 citations · 32 across the 9 of their papers we have counts for
9 papers · 1 filter
Vanishing results from Lichnerowicz Laplacian on complete Kähler manifolds and applications
Gunhee Cho, Nguyen Thac Dung
In this paper, we show several rigidity results for harmonic -forms in complete Kähler manifolds. We also give several applications to study non-compact Kähler manifolds wit…
Rigidity results with curvature conditions from Lichnerowicz Laplacian and applications
Gunhee Cho, Nguyen Thac Dung, Tran Quang Huy
The Bochner technique is a classical tool in global differential geometry for proving vanishing and rigidity results by exploiting curvature conditions. Building on recent extensio…
Vanishing properties of -harmonic -forms on Riemannian manifolds
Nguyen Thac Dung, Pham Trong Tien
In this paper, we show several vanishing type theorems for -harmonic -forms on Riemannian manifolds (). First of all, we consider complete non-compact immersed sub…
The number of cusps of complete Riemannian manifolds with finite volume
Nguyen Thac Dung, Nguyen Ngoc Khanh, Ta Cong Son
In this paper, we will count the number of cusps of complete Riemannian manifolds with finite volume. When is a complete smooth metric measure spaces, we show that the numb…
Gradient estimates for some -heat equations driven by Lichnerowicz's equation on complete smooth metric measure spaces
Nguyen Thac Dung, Nguyen Ngoc Khanh, Quôc Anh Ngô
Given a complete, smooth metric measure space with the Bakry-Émery Ricci curvature bounded from below, various gradient estimates for solutions of the following ge…
A note on a Sung-Wang's paper
Nguyen Thac Dung
The purpose of this note is to study the connectedness at infinity of manifold by using the theory of -harmonic functions. We show that if the first eigenvalue for the…
Gradient estimates of Hamilton - Souplet - Zhang type for a general heat equation on Riemannian manifolds
Nguyen Thac Dung, Nguyen Ngoc Khanh
The purpose of this paper is to study gradient estimate of Hamilton - Souplet - Zhang type for the general heat equation on noncompact Riemannian mani…
Local and global sharp gradient estimates for weighted -harmonic functions
Nguyen Thac Dung, Nguyen Duy Dat
Let be a smooth metric measure space of dimensional . Suppose that is a positive weighted -eigenfunctions associated to the eigenvalues on…
A generalization of almost Schur lemma on CR manifolds
Jui-Tang Chen, Nguyen Thac Dung, Chin-Tung Wu
In this paper, we study a general almost Schur Lemma on pseudo-Hermitian (2n+1)-manifolds for . When the equality of almost Schur inequality holds, we derive the…