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

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ÖZDEMİR N., Aktay S.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, vol.20, no.3, pp.83-93, 2012 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 20 Issue: 3
• Publication Date: 2012
• Doi Number: 10.2478/v10309-012-0057-9
• Journal Name: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.83-93
• Keywords: G(2) structure, Dirac operator
• Anadolu University Affiliated: Yes

Abstract

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.