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

Date

2013-06-01

Author

Arıkan, Mehmet Fırat
Cho, Hyunjoo
Salur, Sema

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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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

Collections

Department of Mathematics, Article