Qiangbo Tan

most cited

L^{2}

-hard Lefschetz complete symplectic manifolds

4 citations · 4 across the 1 of their papers we have counts for

collaborators

3 papers

math.DG2020

Remarks on some compact symplectic solvmanifolds

Qiang Tan, Adriano Tomassini

We study the hard Lefschetz property on compact symplectic solvmanifolds, i.e., compact quotients $M = Γ\ G$ of a simply-connected solvable Lie group $G$ by a lattice $Γ$ , a…

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.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…

Remarks on some compact symplectic solvmanifolds

L2-hard Lefschetz complete symplectic manifolds

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

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

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