English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper, we numerically investigate the length spectra and thelow-lying eigenvalue spectra of the Laplace-Beltrami operator for a largenumber of small compact(closed) hyperbolic (CH) 3-manifolds. The first non-zeroeigenvalues have been successfully computed using the periodic orbit summethod, which are compared with various geometric quantities such as volume,diameter and length of the shortest periodic geodesic of the manifolds. Thedeviation of low-lying eigenvalue spectra of manifolds converging to a cuspedhyperbolic manifold from the asymptotic distribution has been measured by$\zeta-$ function and spectral distance.Comment: 19 pages, 18 EPS figures and 2 GIF figures (fig.10) Description of  cusped manifolds in section 2 is correcte

Numerical study of length spectra and low-lying eigenvalue spectra of compact hyperbolic 3-manifolds