Dirac Operator on a 7-Manifold with Deformed G(2) Structure

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Atıf İçin Kopyala

ÖZDEMİR N., Aktay S.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.20, sa.3, ss.83-93, 2012 (SCI-Expanded)

• 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
• 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.