Almost Kenmotsu manifolds with conformal Reeb foliation

作者：Pastore Anna Maria^*; Saltarelli Vincenzo

来源：Bulletin of the Belgian Mathematical Society Simon Stevin, 2011, 18(4): 655-666.

• Almost Kenmotsu manifolds
• harmonic morphisms
• nullity distributions
• real space forms
• eta-Einstein conditions

We consider almost Kenmotsu manifolds with conformal Reeb foliation. We prove that such a foliation produces harmonic morphisms, we study the k-nullity distributions and we discuss the isometrical immersion of such a manifold M as hypersurface in a real space form (M) over tilde (c) of constant curvature c proving that c <= 1 and, if c < - 1, M is totally umbilical, Kenmotsu and locally isometric to the hyperbolic space of constant curvature -1. Finally, the Einstein and eta-Einstein conditions are discussed.

• 出版日期2011-12