Dirac Operator on a 7-Manifold with Deformed G(2) Structure
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.20, sa.3, ss.83-93, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20 Sayı: 3
- Basım Tarihi: 2012
- Doi Numarası: 10.2478/v10309-012-0057-9
- Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.83-93
- Anahtar Kelimeler: G(2) structure, Dirac operator
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Anadolu Üniversitesi Adresli: Evet
Özet
In this work, we consider the deforming of a G(2) structure by a vector field on a 7-manifold. To obtain the metric corresponding to deformed G(2) structure, a new map is defined. By using this new map, the co-variant derivatives on associated spinor bundles are compared. Then, the relation between Dirac operators on spinor bundles are investigated under some restrictions.