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Holomorphons and the standard almost complex structure on \(S^6\)

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Milewski J.

Commentationes Mathematicae

2006

tom 46

nr 2

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 \(S^6\).

Holomorphons on spheres

100%

Milewski J.

Commentationes Mathematicae

2008

tom 48

nr 1

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.

Ograniczanie wyników

2 Commentationes Mathematicae

2 Milewski J.

1 2008

1 2006

Wyniki wyszukiwania

Holomorphons and the standard almost complex structure on \(S^6\)

Holomorphons on spheres