The harmonicity of nearly cosymplectic structures

DOI10.1090/S0002-9947-2015-06670-7zbMath1316.53031arXiv1109.2745WikidataQ124963469 ScholiaQ124963469MaRDI QIDQ5251597

E. Vergara-Diaz, Eric Loubeau

Publication date: 20 May 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2745

zbMATH Keywords

harmonic mapharmonic sectionharmonic unit vector fieldnearly cosymplectic almost contact structure

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost contact and almost symplectic manifolds (53D15)

Related Items (6)

Nearly Sasakian geometry and \(\mathrm{SU}(2)\)-structures ⋮ Harmonic unit normal sections of Grassmannians associated with cross products ⋮ A note on quasi-generalized CR-lightlike geometry in indefinite nearly μ-Sasakian manifolds ⋮ On nearly Sasakian and nearly cosymplectic manifolds ⋮ Some remarks on quasi-generalized CR-null geometry in indefinite nearly cosymplectic manifolds ⋮ Harmonic geometric structures: the general theory and the cases of almost complex and almost contact structures

Cites Work

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• Harmonic almost contact structures
• The structure of nearly Kähler manifolds
• Almost contact manifolds with Killing structure tensors
• HARMONIC CONTACT METRIC STRUCTURES AND SUBMERSIONS
• Instability of the nearly-Kähler six-sphere.
• Almost Complex Submanifolds of the Six Sphere
• Riemannian geometry of contact and symplectic manifolds

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