This article is cited in 1 paper

Curvature and Tachibana numbers

S. E. Stepanov

Finance Academy under the Government of the Russian Federation

Abstract: The purpose of this paper is to define the $r$th Tachibana number $t_r$ of an $n$-dimensional closed and oriented Riemannian manifold $(M,g)$ as the dimension of the space of all conformal Killing $r$-forms for $r=1,2,\dots,n-1$ and to formulate some properties of these numbers as an analogue to properties of the $r$th Betti number $b_r$ of a closed and oriented Riemannian manifold.

UDC: 514.764.212

 English version: Journal of Mathematical Sciences (New York), 2011, 172:6, 901–908

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