Teng Huang

activity

20152022

most citedA lower bound on the solutions of Kapustin-Witten equations

7 citations · 29 across the 24 of their papers we have counts for

collaborators

24 papers

math.DG2022

On harmonic symmetries for locally conformally Kähler manifolds

Teng Huang

In this article, we study harmonic symmetries on the compact locally conformally Kähler manifold $M$ of $d i m_{C} = n$ . The space of harmonic symmetries is a subspace of harm…

math.DG2021

On second non-HLC degree of closed symplectic manifold

Teng Huang

In this note, we show that for a closed almost-Kähler manifold $(X, J)$ with the almost complex structure $J$ satisfies $dim ker P_{J} = b_{2} - 1$ the space of de Rham harmonic forms…

math.DG2021★ 2 cited

Hodge theory of holomorphic vector bundle on compact Kähler hyperbolic manifold

Teng Huang

Let $E$ be a holomorphic vector bundle over a compact Kähler manifold $(X, ω)$ with negative sectional curvature $sec \leq - K < 0$ , $Δ_{E}$ be the Chern connection on $E$ . In this arti…

math.DG2021

On $L^{2}$ -harmonic forms of complete almost Kähler manifold

Teng Huang

In this article, we study the $L^{2}$ -harmonic forms on the complete $2 n$ -dimensional almost Käher manifold $X$ . We observe that the $L^{2}$ -harmonic forms can decomposition into L…

math.DG2021

On Euler number of symplectic hyperbolic manifold

Teng Huang

In this article, we introduce a class of closed $2 n$ -dimensional almost Kähler manifold $X$ which called the special symplectic hyperbolic manifold. Those manifolds include Kähler…

math.DG2020★ 4 cited

$L^{2}$ -hard Lefschetz complete symplectic manifolds

Teng Huang, Qiang Tan

For a complete symplectic manifold $M^{2 n}$ , we define the $L^{2}$ -hard Lefschetz property on $M^{2 n}$ . We also prove that the complete symplectic manifold $M^{2 n}$ satisfies $L^{2…

math.DG2020

On Yang-Mills connections on compact Kähler surfaces

Teng Huang

We extend an $L^{2}$ -energy gap of Yang-Mills connections on principal $G$ -bundles $P$ over a compact Riemannian manfold with a $g oo d$ Riemannian metric to the case of a compact Kä…

math.DG2019

Some boundedness properties of solutions to the complex Yang-Mills equations on closed $4$ -manifolds

Teng Huang

In this article, we study the analytical properties of the solutions of the complex Yang-Mills equations on a closed Riemannian four-manifold $X$ with a Riemannian metric $g$ . The…

math.DG2019

A note on Euler number of locally conformally Kähler manifolds

Teng Huang

Let $M^{2 n}$ be a compact Riemannian manifold of non-positive (resp. negative) sectional curvature. We call $(M, J, θ)$ a $d$ (bounded) locally conformally Kähler manifold if the lift…

math.DG2019

Global perturbation potential function on complete special holonomy manifolds

Teng Huang

In this article, we introduce and study the notion of a complete special holonomy manifold $(X, ω)$ which is given by a global perturbation potential function, i.e., there is a func…

math.DG2019

Vanishing theorems on complete Riemannian manifold with a parallel $1$ -form

Teng Huang, Qiang Tan

In this article, we first consider the $L^{2}$ \textit{Morse-Novikov cohomology} on a complete Riemannian manifold $M$ equipped with a parallel $1$ -form which includes Vaisman mani…

math.DG2018

$L^{2}$ vanishing theorem on some Kähler manifolds

Teng Huang

Let $E$ be a Hermitian vector bundle over a complete Kähler manifold $(X, ω)$ , $dim_{C} X = n$ , with a $d$ (bounded) Kähler form $ω$ , $d_{A}$ be a Hermitian connection on $E$ .…

math.DG2018★ 1 cited

Asymptotic behaviour of instantons on Cylinder Manifolds

Teng Huang

IIn this article, we study the instanton equation on the cylinder over a closed manifold $X$ which admits non-zero smooth $3$ -form $P$ and $4$ -form $Q$ . Our results are (1) if $X$ …

math.DG2017

A compactness theorem for stable flat $S L (2, C)$ connections on $3$ -folds

Teng Huang

Let $Y$ be a closed $3$ -manifold such that all flat $S U (2)$ -connections on $Y$ are $n o n$ - $d e g e n er a t e$ . In this article, we prove a Uhlenbeck-type compactness theorem on $Y$ for sta…

math.DG2017★ 1 cited

Non-existence of Higgs fields on Calabi-Yau Manifolds

Teng Huang

In this article, we study the Higgs vector bundles $(E, θ)$ over a compact Calabi-Yau manifolds $X$ . We use Yang-Mills-Higgs flow to prove that if a semistable Higgs bundle with van…

math.DG2017★ 5 cited

A proof on energy gap for Yang-Mills connection

Teng Huang

In this note, we prove an $L^{\frac{n}{2}}$ -energy gap result for Yang-Mills connections on a principal $G$ -bundle over a compact manifold without using Lojasiewicz-Simon gradien…

math-ph2017

On a topology property for the moduli space of Kapustin-Witten equations

Teng Huang

In this article, we study the Kapustin-Witten equations on a closed, simply-connected, four-dimensional manifold which were introduced by Kapustin and Witten. We use the Taubes' co…

math.DG2016★ 4 cited

An $L^{2}$ -isolation theorem for Yang-Mills fields on Kähler surfaces

Teng Huang

We prove an $L^{2}$ energy gap result for Yang-Mills connections on principal $G$ -bundles over compact Kähler surfaces with positive scalar curvature. We prove related results for…

math.DG2016★ 4 cited

An Energy Gap for Complex Yang-Mills Equations

Teng Huang

We use the energy gap result of pure Yang-Mills equation [Feehan P.M.N., Adv. Math. 312 (2017), 547-587, arXiv:1502.00668] to prove another energy gap result of complex Yang-Mills…

math.DG2016★ 7 cited

A lower bound on the solutions of Kapustin-Witten equations

Teng Huang

In this article, we consider the Kapustin-Witten equations on a closed $4$ -manifold. We study certain analytic properties of solutions to the equations on a closed manifold. The ma…

math.DG2015

Stable Yang-Mills connections on Special Holonomy Manifolds

Teng Huang

We prove that energy minimizing Yang-Mills connections on a compact $G_{2}$ -manifold has holonomy equal to $G_{2}$ are $G_{2}$ -instantons, subject to an extra condition on the curv…

math.DG2015★ 1 cited

Some Energy Properties of Yang-Mills Connections

Teng Huang

We consider a vector bundle $E$ over a compact Riemannian manifold $M$ = $M^{n}$ , $n \geq 4$ ,and $A$ is a Yang-Mills connection with $L^{\frac{n}{2}}$ curvature $F_{A}$ on $E$ .Then we…

math.DG2015

Yang-Mills connections on $G_{2}$ -manifolds and Calabi-Yau 3-folds

Teng Huang

We consider the minimum Yang-Mills energy on the complete $G_{2}$ -manifolds and Calabi-Yau 3-folds,the connection $A$ is a stability Yang-Mills connection on the $G$ -bundle $E$ .We…

math.DG2015

Instantons on Cylindrical Manifolds

Teng Huang

We consider an instanton, $A$ ,with $L^{2}$ -curvature $F_{A}$ on the cylindrical manifold $Z = R \times M$ ,where $M$ is a closed Riemannian $n$ -manifold, $n\g…

On harmonic symmetries for locally conformally Kähler manifolds

On second non-HLC degree of closed symplectic manifold

Hodge theory of holomorphic vector bundle on compact Kähler hyperbolic manifold

On L2-harmonic forms of complete almost Kähler manifold

On Euler number of symplectic hyperbolic manifold

L2-hard Lefschetz complete symplectic manifolds

On Yang-Mills connections on compact Kähler surfaces

Some boundedness properties of solutions to the complex Yang-Mills equations on closed 4-manifolds

A note on Euler number of locally conformally Kähler manifolds

Global perturbation potential function on complete special holonomy manifolds

Vanishing theorems on complete Riemannian manifold with a parallel 1-form

L2 vanishing theorem on some Kähler manifolds

Asymptotic behaviour of instantons on Cylinder Manifolds

A compactness theorem for stable flat SL(2,C) connections on 3-folds

Non-existence of Higgs fields on Calabi-Yau Manifolds

A proof on energy gap for Yang-Mills connection

On a topology property for the moduli space of Kapustin-Witten equations

An L2-isolation theorem for Yang-Mills fields on Kähler surfaces

An Energy Gap for Complex Yang-Mills Equations

A lower bound on the solutions of Kapustin-Witten equations

Stable Yang-Mills connections on Special Holonomy Manifolds

Some Energy Properties of Yang-Mills Connections

Yang-Mills connections on G2​-manifolds and Calabi-Yau 3-folds

Instantons on Cylindrical Manifolds

On $L^{2}$ -harmonic forms of complete almost Kähler manifold

$L^{2}$ -hard Lefschetz complete symplectic manifolds

Some boundedness properties of solutions to the complex Yang-Mills equations on closed $4$ -manifolds

Vanishing theorems on complete Riemannian manifold with a parallel $1$ -form

$L^{2}$ vanishing theorem on some Kähler manifolds

A compactness theorem for stable flat $S L (2, C)$ connections on $3$ -folds

An $L^{2}$ -isolation theorem for Yang-Mills fields on Kähler surfaces

Yang-Mills connections on $G_{2}$ -manifolds and Calabi-Yau 3-folds