On the Curvature Properties of Manifolds with Deformed G2 Structures


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Abstract

In this paper, we study the curvature properties of a manifold with structure group G2 whose fundamental 3-form is deformed by a Killing vector field of unit length. We obtain some results concerning conditions under which this manifold is flat, Einstein, or isometric to the unit sphere.

About the authors

N. Özdemir

Anadolu University

Author for correspondence.
Email: nozdemir@anadolu.edu.tr
Turkey, Eskişehir

Ş. Aktay

Anadolu University

Email: nozdemir@anadolu.edu.tr
Turkey, Eskişehir

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