Curvature and Tachibana Numbers
Differential Geometry
2009-03-24 v1
Abstract
The purpose of this paper is to define the r-th Tachibana number t(r) of an n-dimentional closed and oriented Riemannian manifold (M,g) as the dimension of the space of all conformal Killing r-forms for r=1,2,...,n-1 and to formulate some properties of these numbers as an analogue to properties of the r-th Betty number b(r) of a closed and oriented Riemannian manifold.
Cite
@article{arxiv.0903.3824,
title = {Curvature and Tachibana Numbers},
author = {Sergey E. Stepanov},
journal= {arXiv preprint arXiv:0903.3824},
year = {2009}
}