On deformations of parallel G(2) structures and almost contact metric structures

Aktay S.

ADVANCES IN GEOMETRY, vol.17, no.3, pp.293-302, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.1515/advgeom-2017-0016
  • Journal Name: ADVANCES IN GEOMETRY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.293-302
  • Keywords: G(2) structure, almost contact metric structure, COMPACT RIEMANNIAN 7-MANIFOLDS, EXCEPTIONAL HOLONOMY, MANIFOLDS
  • Anadolu University Affiliated: Yes

Abstract

It is known that manifolds with G(2) structures have almost contact metric structures; see [3; 16]. In this manuscript, we deform a parallel G(2) structure by a parallel vector field and investigate the properties of the almost contact metric structure obtained by the deformation of the G(2) structure.