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) identifier identifier


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.