Hang Zhang

activity

20202023

collaborators

5 papers

math.GT2023

Legendrian Negative Torus Knots in Universally Tight Lens Spaces

Han Zhang

The main theorem characterizes all Legendrian negative torus knots in universally tight lens space in the sense of coarse equivalence. Together with Onaran's results on Legendrian…

math.GT2022

A Construction of Rational Seifert Surface in Lens Space

Han Zhang

In this note, I give a method to construct rational Seifert surface for those smooth or piece-wise linear oriented knots in Lens space. I assume that the oriented knot has a regula…

math.DS2022

Nondivergence of Reductive group action on Homogeneous Spaces

Han Zhang, Runlin Zhang

Let $X = G /Γ$ be the quotient of a semisimple Lie group $G$ by its non-cocompact arithmetic lattice. Let $H$ be a reductive algebraic subgroup of $G$ acting on $X$ . We give several e…

math.DS2021

Nondivergence on homogeneous spaces and rigid totally geodesics

Han Zhang, Runlin Zhang

Let $G /Γ$ be the quotient of a semisimple Lie group by an arithmetic lattice. We show that for reductive subgroups $H$ of $G$ that is large enough, the orbits of $H$ on $G /Γ$ inter…

math.DS2020

Locally unipotent invariant measures and limit distribution of a sequence of polynomial trajectories on homogeneous spaces

Han Zhang

Let $G$ be a Lie group and $Γ$ be a lattice in $G$ . We introduce the notion of locally unipotent invariant measures on $G /Γ$ . We then prove that under some conditions, the limit me…