Hyperbolic 3-manifolds with large kissing number

Abstract

In this article we construct a sequence $\{M_i\}$ of non compact finite volume hyperbolic $3$-manifolds whose kissing number grows at least as $\mathrm{vol}(M_i{)}^{\frac{31}{27}-\epsilon }$ for any $\epsilon >0$. This extends a previous result due to Schmutz in dimension $2$.

15 pages; introduction rewritten; includes minor corrections and update of references; to appear in Proceedings of the AMS

References in corpus (2)

• Systoles and kissing numbers of finite area hyperbolic surfaces
• On growth of systole along congruence coverings of Hilbert modular varieties