SpinT structure and dirac operator on riemannian manifolds

Bulut Ş., Erkoca A. K.

Balkan Journal of Geometry and its Applications, vol.23, no.1, pp.28-36, 2018 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 1
  • Publication Date: 2018
  • Journal Name: Balkan Journal of Geometry and its Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.28-36
  • Keywords: Dirac operator, Schrödinger-Lichnerowicz type formula, Spinor bundle, The group SpinT (n)
  • Anadolu University Affiliated: Yes

Abstract

© Balkan Society of Geometers, Geometry Balkan Press 2018.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.