General algebraic identities for the Nijenhuis and Haantjes tensors

O. I. Bogoyavlenskii

Izvestiya. Mathematics , Tome 68 (2004) no. 6, pp. 1129-1141.

Résumé

We obtain general algebraic identities for the Nijenhuis and Haantjes tensors on an arbitrary manifold $M^n$. For $n=3$ we derive special algebraic identities connected with the Cartan–Killing form $(u,v)_H$.

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