Systole and of closed hyperbolic surfaces of genus
Sugata Mondal
Université Paul Sabatier, Toulouse, France
![Systole and $\lambda_{2g–2}$ of closed hyperbolic surfaces of genus $g$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-lem-volume-60-issue-1.png&w=3840&q=90)
Abstract
We apply topological methods to study eigenvalues of the Laplacian on closed hyperbolic surfaces. For any closed hyperbolic surface of genus , we get a geometric lower bound on where is an explicit constant which depends only on the systole of .
Cite this article
Sugata Mondal, Systole and of closed hyperbolic surfaces of genus . Enseign. Math. 60 (2014), no. 1/2, pp. 3–24
DOI 10.4171/LEM/60-1/2-1