On a spin conformal invariant on manifolds with boundary
Differential Geometry
2009-03-10 v1
Abstract
On a n-dimensional connected compact manifold with non-empty boundary equipped with a Riemannian metric, a spin structure and a chirality operator, we study some properties of a spin conformal invariant defined from the first eigenvalue of the Dirac operator under the chiral bag boundary condition. More precisely, we show that we can derive a spinorial analogue of Aubin's inequality.
Cite
@article{arxiv.math/0609691,
title = {On a spin conformal invariant on manifolds with boundary},
author = {Simon Raulot},
journal= {arXiv preprint arXiv:math/0609691},
year = {2009}
}
Comments
26 pages