Explicit vector spherical harmonics on the 3-sphere
Mathematical Physics
2016-01-21 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
We build a family of explicit one-forms on which are shown to form a complete set of eigenmodes for the Laplace-de Rahm operator.
Cite
@article{arxiv.1505.03426,
title = {Explicit vector spherical harmonics on the 3-sphere},
author = {J. Ben Achour and E. Huguet and J. Queva and J. Renaud},
journal= {arXiv preprint arXiv:1505.03426},
year = {2016}
}
Comments
To appear in Journal of Math. Phys. A simpler basis is given, the proofs have been significantly simplified. 5 pages, Revtex