Betti and Tachibana numbers
Differential Geometry
2013-07-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1306.6800,
title = {Betti and Tachibana numbers},
author = {S. E. Stepanov and J. Mikeš},
journal= {arXiv preprint arXiv:1306.6800},
year = {2013}
}
Comments
12 pages, 1 figure