Numerical evaluation of spherical GJMS determinants
Mathematical Physics
2014-06-11 v1 High Energy Physics - Theory
Differential Geometry
math.MP
Spectral Theory
Abstract
A numerical expression in the form of an integral is given for the determinant of the scalar GJMS operator on an odd--dimensional sphere. Manipulation yields a curious sum formula for the logdet in terms of the logdets of the ordinary conformal Laplacian for other dimensions. A few graphs are drawn.
Cite
@article{arxiv.1309.2873,
title = {Numerical evaluation of spherical GJMS determinants},
author = {J. S. Dowker},
journal= {arXiv preprint arXiv:1309.2873},
year = {2014}
}
Comments
6 pages