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

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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.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

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