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Matematicheskie Zametki, 2018, Volume 103, Issue 3, Pages 437–444
DOI: https://doi.org/10.4213/mzm11912 (Mi mzm11912) 		 
On the Curvature Properties of Manifolds with Deformed $G_2$ Structures

N. Ozdemir, S. Aktay

Anadolu University, Turkey
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DOI: https://doi.org/10.4213/mzm11912
Abstract: 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.
Keywords: $G_2$-structure, curvature.
Received: 10.03.2015
English version:
Mathematical Notes, 2018, Volume 103, Issue 3, Pages 447–452
DOI: https://doi.org/10.1134/S0001434618030100
Bibliographic databases:
Document Type: Article
UDC: 514
Language: Russian
Citation: N. Ozdemir, S. Aktay, “On the Curvature Properties of Manifolds with Deformed $G_2$ Structures”, Mat. Zametki, 103:3 (2018), 437–444; Math. Notes, 103:3 (2018), 447–452
Citation in format AMSBIB
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