Y. Wang: Conformally flat $CR$-integrable almost Kenmotsu manifolds, p. 375-387


In this paper, we prove that a $CR$-integrable almost Kenmotsu manifold of dimension greater than three with scalar curvature invariant along the characteristic vector field is conformally flat if and only if it is of constant sectional curvature $-1$.

Key Words: Almost Kenmotsu manifold, $CR$-integrable structures, conformally flat, hyperbolic space.

2010 Mathematics Subject Classification: Primary 53D15; Secondary 53C25, 53C15.