SpinT structure and dirac operator on riemannian manifolds

Abstract

In this paper, we describe the group SpinT (n) and give some properties of this group. We construct SpinT spinor bundle S[double-struck] by means of the spinor representation of the group SpinT (n) and define covariant derivative operator and Dirac operator on S[double-struck]. Finally, Schrödinger- Lichnerowicz type formula is derived by using these operators