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 language | English |
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Pages (from-to) | 209-225 |
Number of pages | 17 |
Journal | International journal of mathematics |
Volume | 20 |
Issue number | 2 |
DOIs | |
Publication status | Published - 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