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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bamberg, John / Bannai, Eiichi / Cavalieri, Renzo / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

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Volume 17, Issue 3

Issues

On deformations of parallel G2 structures and almost contact metric structures

Şirin Aktay
Published Online: 2017-07-22 | DOI: https://doi.org/10.1515/advgeom-2017-0016

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: G2 structure; almost contact metric structure

MSC 2010: 53C25; 53D15

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About the article


Received: 2015-01-23

Revised: 2015-06-19

Revised: 2015-09-10

Published Online: 2017-07-22

Published in Print: 2017-07-26


Citation Information: Advances in Geometry, Volume 17, Issue 3, Pages 293–302, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2017-0016.

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