Lizhi Chen

activity

20192026

most citedCovering Trick and Embolic Volume

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

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2026

A sharp hyperbolic volume bound for hypersurfaces in $M^{3} \times S^{1}$

Lizhi Chen, Kuntao Jin

Let $(M^{3}, g_{hyp})$ be a closed oriented hyperbolic three-manifold normalized so that $sec_{g_{hyp}} \equiv - 1$ . We prove a sharp lower bound for…

math.DG2019

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…

math.DG2019★ 1 cited

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…

A sharp hyperbolic volume bound for hypersurfaces in M3×S1

Embolic volume and Betti numbers

Covering Trick and Embolic Volume

A sharp hyperbolic volume bound for hypersurfaces in $M^{3} \times S^{1}$