Geodesic
Curvature and Tachibana numbers
Sbornik. Mathematics, Tome 202 (2011) no. 7, pp. 1059-1069

Voir la notice de l'article provenant de la source Math-Net.Ru

The aim of this paper is to define the $r$th Tachibana number $t_r$ of an $n$-dimensional compact oriented Riemannian manifold as the dimension of the space of conformally Killing $r$-forms, for $r=1,2,\dots,n-1$. We also describe properties of these numbers, by analogy with properties of the Betti numbers $b_r$ of a compact oriented Riemannian manifold. Bibliography: 25 titles.
Keywords: compact Riemannian manifold, differential forms, elliptic operator
Mots-clés : scalar invariants. 
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     author = {S. E. Stepanov},
     title = {Curvature and {Tachibana} numbers},
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     url = {http://geodesic.mathdoc.fr/item/SM_2011_202_7_a5/}
}
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S. E. Stepanov. Curvature and Tachibana numbers. Sbornik. Mathematics, Tome 202 (2011) no. 7, pp. 1059-1069. http://geodesic.mathdoc.fr/item/SM_2011_202_7_a5/