SpinT structure and Dirac operator on Riemannian manifolds
Differential Geometry
2015-08-24 v2
Abstract
In this paper, we describe the group SpinT (n) and give some properties of this group. We construct SpinT spinor bundle S by means of the spinor representation of the group SpinT (n) and define covariant derivative operator and Dirac operator on S. Finally, Schrodinger-Lichnerowicz-type formula is derived by using these operators.
Keywords
Cite
@article{arxiv.1508.04540,
title = {SpinT structure and Dirac operator on Riemannian manifolds},
author = {Senay Bulut and Ali Kemal Erkoca},
journal= {arXiv preprint arXiv:1508.04540},
year = {2015}
}