Geodesic
General algebraic identities for the Nijenhuis and Haantjes tensors
Izvestiya. Mathematics , Tome 68 (2004) no. 6, pp. 1129-1141

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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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     author = {O. I. Bogoyavlenskii},
     title = {General algebraic identities for the {Nijenhuis} and {Haantjes} tensors},
     journal = {Izvestiya. Mathematics },
     pages = {1129--1141},
     publisher = {mathdoc},
     volume = {68},
     number = {6},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2004_68_6_a2/}
}
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O. I. Bogoyavlenskii. General algebraic identities for the Nijenhuis and Haantjes tensors. Izvestiya. Mathematics , Tome 68 (2004) no. 6, pp. 1129-1141. http://geodesic.mathdoc.fr/item/IM2_2004_68_6_a2/