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On the Curvature Properties of Manifolds with Deformed G2 Structures

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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… Click to show full 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.

Keywords: curvature properties; properties manifolds; manifolds deformed; curvature; deformed structures

Journal Title: Mathematical Notes
Year Published: 2018

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