f-Structures of Kenmotsu Type

• Autores: Maria Falcitelli, Anna Maria Pastore
• Localización: Mediterranean journal of mathematics, ISSN 1660-5446, Vol. 3, Nº. 3-4, 2006, págs. 549-564
• Idioma: inglés
• DOI: 10.1007/s00009-006-0096-4
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• Resumen

  • A class of manifolds which admit an f-structure with s-dimensional parallelizable kernel is introduced and studied. Such manifolds are Kenmotsu manifolds if s = 1, and carry a locally conformal Kähler structure of Kashiwada type when s = 2. The existence of several foliations allows to state some local decomposition theorems. The Ricci tensor together with Einstein-type conditions and f-sectional curvatures are also considered. Furthermore, each manifold carries a homogeneous Riemannian structure belonging to the class of the classification stated by Tricerri and Vanhecke, provided that it is a locally symmetric space.