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 Kahler 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 $T_1\oplus T_2$ of the classification stated by Tricerri and Vanhecke, provided that it is a locally symmetric space.
f-structures of Kenmotsu type
FALCITELLI, Maria;PASTORE, Anna Maria
2006-01-01
Abstract
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 Kahler 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 $T_1\oplus T_2$ of the classification stated by Tricerri and Vanhecke, provided that it is a locally symmetric space.File in questo prodotto:
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