Geodesic
On the Curvature Properties of Manifolds with Deformed $G_2$ Structures
Matematičeskie zametki, Tome 103 (2018) no. 3, pp. 437-444

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In this paper, we study the curvature properties of a manifold with structure group $G_2$ 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.
Mots-clés : $G_2$-structure
Keywords: curvature. 
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     author = {N. Ozdemir and S. Aktay},
     title = {On the {Curvature} {Properties} of {Manifolds} with {Deformed} $G_2$ {Structures}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {437--444},
     publisher = {mathdoc},
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     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_3_a8/}
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N. Ozdemir; S. Aktay. On the Curvature Properties of Manifolds with Deformed $G_2$ Structures. Matematičeskie zametki, Tome 103 (2018) no. 3, pp. 437-444. http://geodesic.mathdoc.fr/item/MZM_2018_103_3_a8/