A note on the basic Lichnerowicz cohomology of transversally locally conformally K¨ahlerian foliations

Abstract

In this paper we generalize the basic Lichnerowicz cohomology on transversally locally conformally K¨ahlerian foliations and we study its relation with basic Bott-Chern cohomology and 0–th basic Dolbeault cohomology with values in the associated foliated weight bundle.