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Holomorphons on spheres

Milewski J.

Commentationes Mathematicae

2008

Vol. 48, [Z] 1

13-22

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.

On a special structure in a differentiable manifold

Nivas R., Saxena M.

Demonstratio Mathematica

2006

Vol. 39, nr 1

203-210

K. Yano, studied structure defined by a tensor field f of type (1,1) satisfying f3 + f = 0. In this paper we have considered a structure of fourth order, which involves the generalization of the above structure. Some interesting results have been obtained on the existence and the integrability conditions of such a structure.