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June 2013 Existence of compatible contact structures on $G_2$-manifolds
M. Firat Arikan, Hyunjoo Cho, Sema Salur
Asian J. Math. 17(2): 321-334 (June 2013).

Abstract

In this paper, we show the existence of (co-oriented) contact structures on certain classes of $G_2$-manifolds, and that these two structures are compatible in certain ways. Moreover, we prove that any seven-manifold with a spin structure (and so any manifold with $G_2$-structure) admits an almost contact structure. We also construct explicit almost contact metric structures on manifolds with $G_2$-structures.

Citation

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M. Firat Arikan. Hyunjoo Cho. Sema Salur. "Existence of compatible contact structures on $G_2$-manifolds." Asian J. Math. 17 (2) 321 - 334, June 2013.

Information

Published: June 2013
First available in Project Euclid: 8 November 2013

zbMATH: 1337.53064
MathSciNet: MR3078933

Subjects:
Primary: 53C38, 53D10, 53D15, 57R17

Rights: Copyright © 2013 International Press of Boston

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Vol.17 • No. 2 • June 2013
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