On Integral Invariants and Betti Numbers of Symmetric Riemannian Manifolds, I.
On Integral Invariants and Betti Numbers of Symmetric Riemannian Manifolds, I.
In his classical paper $E$ .Cartan proved the important theorem that the $p-t/\iota B\ell tti*ntlmber$ of a compact symmelric Riemannian manifold $M$ is equal to tlte number of linearly $\dot{i}ndependcnt$ invariant diferentials of rank $l$ defined on $M$ .Now there exist two kinds of compact symmetric Riemannian $man^{\backslash _{-}}1$ folds.$ …