1 citations · 1 across the 6 of their papers we have counts for
7 papers
A sharp hyperbolic volume bound for hypersurfaces in
Lizhi Chen, Kuntao Jin
Let be a closed oriented hyperbolic three-manifold normalized so that . We prove a sharp lower bound for…
Topological Complexity and Finite Domination
Lizhi Chen
Let be a closed, connected, smooth -dimensional manifold. We prove that is dominated by the underlying space of the -skeleton of a finite simplicial complex. Furtherm…
Triangulation complexity and systolic volume of hyperbolic manifolds
Lizhi Chen
Let be a closed -manifold with nonzero simplicial volume. A central result in systolic geometry from Gromov is that systolic volume of is related to its simplicial volum…
Embolic volume and Betti numbers
Lizhi Chen
We show a new result of relating embolic volume of compact manifolds to Betti numbers. The result is an improvement to Durumeric's previous work. The proof is based on Gromov's met…
Covering Trick and Embolic Volume
Lizhi Chen
Embolic volume of compact manifolds is defined in terms of Berger's embolic inequality. In this paper, we show a result of relating embolic volume to the first Betti number. The pr…
Systolic volume and complexity of 3-manifolds
Lizhi Chen
In this paper, we prove that the systolic volume of a closed aspherical 3-manifold is bounded below in terms of complexity. Systolic volume is defined as the optimal constant in a…
-coefficient homology -systolic freedom of #
Lizhi Chen
We prove the -manifold $\RP^3 \# \RP^3$ is of -coefficient homology -systolic freedom. Given a Riemannian metric on $\RP^{3}\# \RP^{3}$, we define -coeff…