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EnglishWe 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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| Titolo: | Harmonic and holomorphic vector fields on an f-manifold with parallelizable kernel |
| Autori: | |
| Data di pubblicazione: | 2014 |
| Rivista: | |
| 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. |
| Handle: | http://hdl.handle.net/11586/21544 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11586/21544
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