Fuzzy Surfaces of Genus Zero
General Relativity and Quantum Cosmology
2009-10-30 v1 High Energy Physics - Theory
Abstract
A fuzzy version of the ordinary round 2-sphere has been constructed with an invariant curvature. We here consider linear connections on arbitrary fuzzy surfaces of genus zero. We shall find as before that they are more or less rigidly dependent on the differential calculus used but that a large number of the latter can be constructed which are not covariant under the action of the rotation group. For technical reasons we have been forced to limit our considerations to fuzzy surfaces which are small perturbations of the fuzzy sphere.
Cite
@article{arxiv.gr-qc/9706047,
title = {Fuzzy Surfaces of Genus Zero},
author = {J. Madore},
journal= {arXiv preprint arXiv:gr-qc/9706047},
year = {2009}
}
Comments
11 pages, Latex