Harmonic contact metric structures, and submersions

Esther Vergara-Diaz, Chris Wood

Research output: Contribution to journalArticlepeer-review

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

Keywords

  • 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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