Geodesic
Some conformal and projective scalar invariants of Riemannian manifolds
Matematičeskie zametki, Tome 80 (2006) no. 6, pp. 902-907 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that, on any closed oriented Riemannian $n$-manifold, the vector spaces of conformal Killing, Killing, and closed conformal Killing $r$-forms, where $1\le r\le n-1$, have finite dimensions $t_r$, $k_r$, and $p_r$, respectively. The numbers $t_r$ are conformal scalar invariants of the manifold, and the numbers $k_r$ and $p_r$ are projective scalar invariants; they are dual in the sense that $t_r=t_{n-r}$ and $k_r=p_{n-r}$. Moreover, an explicit expression for a conformal Killing $r$-form on a conformally flat Riemannian $n$-manifold is given. 
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     author = {S. E. Stepanov},
     title = {Some conformal and projective scalar invariants of {Riemannian} manifolds},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_6_a7/}
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S. E. Stepanov. Some conformal and projective scalar invariants of Riemannian manifolds. Matematičeskie zametki, Tome 80 (2006) no. 6, pp. 902-907. http://geodesic.mathdoc.fr/item/MZM_2006_80_6_a7/

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