Invariant, anti-invariant and slant submanifolds of a para-Kenmotsu manifold

A Blaga
Properties of an invariant, anti-invariant and timelike-slant iso-metrically immersed submanifold M of a para-Kenmotsu manifold (¯ M , ϕ, ξ, η, g) are studied. In particular, we prove that if M is an invariant submanifold, then it is a para-Kenmotsu manifold, too. We also provide a characterization for a timelike-slant submanifold M of ¯ M in terms of a g-skew-symmetric operator on T M. M.S.C. 2010: 53C07, 53C25, 53C40, 53C42.