Sasakian and Cosymplectic Manifolds

Abstract

In this chapter we define the normality of an almost contact structure and the notion of a Sasakian manifold as a normal contact metric manifold. We also introduce another important structure tensor, h, which will be useful in the study of non-Sasakian contact metric manifolds. As an additional topic, cosymplectic manifolds will be discussed in some detail. We also give several examples and additional commentary.