SpinT structure and Dirac operator on Riemannian manifolds

2015/08/19 by Bulut, Senay, Erkoca, Ali Kemal
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1508.04540

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.

Related

• Dirac Operator and Eigenvalues in Riemannian Geometry
• Classifying Spinor Structures
• The higher spin Dirac operators
• Spinc Dirac operators over the flat 3-torus
• The symmetry of Spin^c Dirac spectrums on Riemannian product manifolds