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On deformations of parallel G2 structures and almost contact metric structures

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Abstract It is known that manifolds with G2 structures have almost contact metric structures; see [3; 16]. In this manuscript, we deform a parallel G2 structure by a parallel vector… Click to show full abstract

Abstract It is known that manifolds with G2 structures have almost contact metric structures; see [3; 16]. In this manuscript, we deform a parallel G2 structure by a parallel vector field and investigate the properties of the almost contact metric structure obtained by the deformation of the G2 structure.

Keywords: metric structures; almost contact; deformations parallel; contact metric; structures almost; parallel structures

Journal Title: Advances in Geometry
Year Published: 2017

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