Betti and Tachibana numbers
Sergey Evgenevich Stepanov, Josef Mikeš · Miskolc mathematical notes/Mathematical notes · 2013
We present a rough classification of differential forms on a Riemannian manifold, we consider definitions and properties of conformal Killing forms on a compact Riemannian manifold and define Tachibana numbers as an analog of the well known Betti numbers.We state the conditions that characterize these numbers.In the last section we show connections between the Betti and Tachibana numbers.