Hui Li

collaborators

4 papers

math.SG2024

Revisit Hamiltonian $S^{1}$ -manifolds of dimension 6 with 4 fixed points

Hui Li

If the circle acts in a Hamiltonian way on a compact symplectic manifold of dimension $2 n$ , then there are at least $n + 1$ fixed points. The case that there are exactly $n + 1$ isolat…

math.SG2024

K-contact manifolds with minimal closed Reeb orbits

Hui Li

We use the Boothby-Wang fibration to construct certain simply connected K-contact manifolds and we give sufficient and necessary conditions on when such K-contact manifolds are hom…

math.SG2024

Hamiltonian $S^{1}$ -manifolds which are like a coadjoint orbit of $G_{2}$

Hui Li

Consider a compact symplectic manifold of dimension $2 n$ with a Hamiltionan circle action. Then there are at least $n + 1$ fixed points. Motivated by recent works on the case that th…

math.SG2004

The fundamental group of symplectic manifolds with Hamiltonian SU(2) or SO(3) actions

Hui Li

Let $(M, ω)$ be a connected compact symplectic manifold equipped with a Hamiltonian SU(2) or SO(3) action. We prove that, as fundamental group of topological spaces, $π_1(M)=π_1(M_…

Revisit Hamiltonian S1-manifolds of dimension 6 with 4 fixed points

K-contact manifolds with minimal closed Reeb orbits

Hamiltonian S1-manifolds which are like a coadjoint orbit of G2​

The fundamental group of symplectic manifolds with Hamiltonian SU(2) or SO(3) actions

Revisit Hamiltonian $S^{1}$ -manifolds of dimension 6 with 4 fixed points

Hamiltonian $S^{1}$ -manifolds which are like a coadjoint orbit of $G_{2}$