English

Numerical calculation of the lowest eigenmodes of the Laplacian in compact orientable 3-dimensional hyperbolic spaces

Astrophysics 2011-11-28 v2

Abstract

A simple method to compute numerically the lowest eigenmodes of the Laplacian in compact orientable hyperbolic spaces of dimension 3 is presented. It is applied to the Thurston manifold, the Weber-Seifert manifold, and to the spaces whose fundamental domain is a regular icosahedron.

Keywords

Cite

@article{arxiv.0809.0591,
  title  = {Numerical calculation of the lowest eigenmodes of the Laplacian in compact orientable 3-dimensional hyperbolic spaces},
  author = {J. P. Pansart},
  journal= {arXiv preprint arXiv:0809.0591},
  year   = {2011}
}

Comments

27 pages, 6 figures, 11 tables