Mediterranean Journal of Mathematics

, Volume 3, Issue 3, pp 549–564

f-Structures of Kenmotsu Type

Authors

    • Dipartimento di MatematicaUniversità degli Studi di Bari
  • Anna Maria Pastore
    • Dipartimento di MatematicaUniversità degli Studi di Bari
Article

DOI: 10.1007/s00009-006-0096-4

Cite this article as:
Falcitelli, M. & Pastore, A.M. MedJM (2006) 3: 549. doi:10.1007/s00009-006-0096-4

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 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 \(\mathcal{T}_{1} \oplus \mathcal{T}_{2}\) of the classification stated by Tricerri and Vanhecke, provided that it is a locally symmetric space.

Mathematics Subject Classification (2000).

Primary 53C15Secondary 53D1553C25

Keywords.

f-structureKenmotsu manifoldη-Einstein manifoldcurvaturehomogeneous structure

Copyright information

© Birkhäuser Verlag, Basel/Switzerland 2006