<abstract xmlns="http://www.w3.org/1999/xhtml">In this work, we consider the deforming of a G2 structure by a vector field on a 7-manifold. To obtain the metric corresponding to deformed G2 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. </abstract>

In this work, we consider the deforming of a G2 structure by a vector field on a 7-manifold. To obtain the metric corresponding to deformed G2 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.

Dirac Operator on a 7-Manifold with Deformed G2 Structure

Department of Mathematics, Science Faculty, Anadolu University, Eskişehir, Turkey

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Dirac Operator on a 7-Manifold with Deformed G Structure

{"article-title":{"sub":2,"content":["Dirac Operator on a 7-Manifold with Deformed G","Structure"]}}

In this work, we consider the deforming of a G2 structure by a vector field on a 7-manifold. To obtain the metric corresponding to deformed G2 structure, a new...

Dirac Operator on a 7-Manifold with Deformed G₂ Structure

Published Online: May 21, 2013

Page range: 83 - 94

DOI: https://doi.org/10.2478/v10309-012-0057-9

Keywords
G2 structure, Dirac operator

This content is open access.