We consider a natural generalization of the metric almost contact manifolds that we call metric f.pk-manifolds. They are Riemannian manifolds with a compatible f-structure which admits a parallelizable kernel. With some additional conditions they are called S-manifolds. We give some examples and study some properties of harmonic 1-forms on such manifolds. We also study harmonicity and holomorphicity of vector fields on them.

Harmonic and holomorphic vector fields on an f-manifold with parallelizable kernel

DI TERLIZZI, Luigia;PASTORE, Anna Maria;
2014

Abstract

We consider a natural generalization of the metric almost contact manifolds that we call metric f.pk-manifolds. They are Riemannian manifolds with a compatible f-structure which admits a parallelizable kernel. With some additional conditions they are called S-manifolds. We give some examples and study some properties of harmonic 1-forms on such manifolds. We also study harmonicity and holomorphicity of vector fields on them.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/21544
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