The harmonicity of nearly cosymplectic structures
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- by E. Loubeau and E. Vergara-Diaz PDF
- Trans. Amer. Math. Soc. 367 (2015), 5301-5327 Request permission
Abstract:
Almost contact structures can be identified with sections of a twistor bundle and this allows us to define their harmonicity, as sections or maps. We consider the class of nearly cosymplectic almost contact structures on a Riemannian manifold and prove curvature identities which imply the harmonicity of their parametrizing section, thus complementing earlier results on nearly-Kähler almost complex structures.References
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Additional Information
- E. Loubeau
- Affiliation: Département de Mathématiques, Université de Bretagne Occidentale, 6, avenue Victor Le Gorgeu, CS 93837, 29238 Brest Cedex 3, France
- MR Author ID: 627140
- Email: Eric.Loubeau@univ-brest.fr
- E. Vergara-Diaz
- Affiliation: School of Mathematics, Trinity College Dublin, Dublin 2, Ireland
- MR Author ID: 810191
- Email: evd@maths.tcd.ie
- Received by editor(s): January 3, 2012
- Published electronically: April 1, 2015
- Additional Notes: This research was carried out under the EC Marie Curie Action no. 219258
- © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 367 (2015), 5301-5327
- MSC (2010): Primary 53C10, 53C15, 53C43, 53D15, 58E20
- DOI: https://doi.org/10.1090/S0002-9947-2015-06670-7
- MathSciNet review: 3347173