A Note on Coeffective 1–Differentiable Cohomology

Abstract

After a brief review of some basic notions concerning 1-differentiable cohomology, named here ď-cohomology, we introduce a Lichnerowicz ď– cohomology in a classical way. Next, following the classical study of coeffective cohomology, a special attention is paid to the study of some problems concerning coeffective cohomology in the graded algebra of 1– differentiable forms. Also, the case of an almost contact metric (2n+1)– dimensional manifold is considered and studied in our context.

Keywords

• 1–differentiable form
• coeffective cohomology
• almost contact structure