SpinT structure and dirac operator on riemannian manifolds

Bulut Ş., Erkoca A. K.

Balkan Journal of Geometry and its Applications, cilt.23, sa.1, ss.28-36, 2018 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 1
  • Basım Tarihi: 2018
  • Dergi Adı: Balkan Journal of Geometry and its Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.28-36
  • Anahtar Kelimeler: Dirac operator, Schrödinger-Lichnerowicz type formula, Spinor bundle, The group SpinT (n)
  • Anadolu Üniversitesi Adresli: Evet

Özet

© 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.