Computations of the orbifold Yamabe invariant
Differential Geometry
2010-09-21 v1 Geometric Topology
Abstract
We consider the Yamabe invariant of a compact orbifold with finitely many singular points. We prove a fundamental inequality for the estimate of the invariant from above, which also includes a criterion for the non-positivity of it. Moreover, we give a sufficient condition for the equality in the inequality. In order to prove it, we also solve the orbifold Yamabe problem under a certain condition. We use these results to give some exact computations of the Yamabe invariant of compact orbifolds.
Cite
@article{arxiv.1009.3576,
title = {Computations of the orbifold Yamabe invariant},
author = {Kazuo Akutagawa},
journal= {arXiv preprint arXiv:1009.3576},
year = {2010}
}
Comments
14 pages, 3 figures