Geodesic
Holomorphons and the standard almost complex structure on \(S^6\)
Commentationes Mathematicae, Tome 46 (2006) no. 2, pp. 245-254.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

We consider Euler–Lagrange equations of families of nonnegative functionals defined on tensor fields of the type (1, 1), which are equal to zero only for complex structures tensor fields. As a solution of the equations we define the notion of holomorphon to distinguish a new class of tensor fields on Riemannian manifolds. Next, as our main result, we construct a holomorphon on the 6-dimensional sphere \(S^6\).
DOI : 10.14708/cm.v46i2.5220
Mots-clés : Riemannian geometry, almost complex structure, Nijenhuis tensor, variational principle 
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Jan Milewski. Holomorphons and the standard almost complex structure on \(S^6\). Commentationes Mathematicae, Tome 46 (2006) no. 2, pp.  245-254. doi : 10.14708/cm.v46i2.5220. http://geodesic.mathdoc.fr/articles/10.14708/cm.v46i2.5220/

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