EXISTENCE OF COMPATIBLE CONTACT STRUCTURES ON G(2)-MANIFOLDS

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2013-06-01

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Arıkan, Mehmet Fırat
Salur, Sema

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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.

Subject Keywords

Applied Mathematics, General Mathematics

URI

https://hdl.handle.net/11511/38356

Journal

ASIAN JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.4310/ajm.2013.v17.n2.a3

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Department of Mathematics, Article

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Citation Formats

M. F. Arıkan and S. Salur, “EXISTENCE OF COMPATIBLE CONTACT STRUCTURES ON G(2)-MANIFOLDS,” ASIAN JOURNAL OF MATHEMATICS, pp. 321–333, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38356.