Harmonic contact metric structures, and submersions

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Publication details

JournalInternational journal of mathematics
DatePublished - Feb 2009
Issue number2
Volume20
Number of pages17
Pages (from-to)209-225
Original languageEnglish

Abstract

We study harmonic almost contact structures in the context of contact metric manifolds, and an analysis is carried out when such a manifold fibres over an almost Hermitian manifold, as exemplified by the Boothby-Wang fibration. Two types of almost contact metric warped products are also studied, relating their harmonicity to that of the almost Hermitian structure on the base or fibre.

    Research areas

  • Harmonic section; , harmonic unit vector field; , harmonic almost contact metric structure; , harmonic almost complex structure; , H-contact; , K-contact; , (1, 2)-symplectic; , *Ricci curvature, Riemannian submersion; , warped product;, (k, µ)-manifold; , VECTOR-FIELDS, MANIFOLDS, SECTIONS, ENERGY

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