AFRICA MATHEMATICS ANNALS

Harmonicity of Holomorphic Sections of an Almost Complex Contact Fiber Bundle

Aristide AYIBE

Laboratoire: Mathématiques Fondamentales
U.F.R: Mathématiques et Informatique
Université Félix Houphout Boigny,
22 BP 582 Abidjan 22, Côte d’ Ivoire   

Mathematics Subject Classification: (2010) 53C15; 53C25 58C10; 58E20
Key words: Riemannian almost complex contact fiber bundle, vertical tension field,(φ,J)-holomorphic sections, harmonic sections.

Abstract:

In this paper (φ,J)-holomorphic maps from an almost contact metric manifold to an almost Hermitian manifold are studied and a criterion for the harmonicity of such (φ,J)-holomorphic maps is obtained.

Also (φ,J)-holomorphic sections of Riemannian almost complex contact fiber bundles are studied and a criterion for the harmonicity of such (φ,J)-holomorphic sections is obtained.