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

• Autorzy: Jan Milewski
• Języki publikacji: EN

Abstrakty

EN

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 \(S^6\).

Słowa kluczowe

EN

Riemannian geometry; almost complex structure; Nijenhuis tensor; variational principle

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2006
• Tom: 46
• Numer: 2

Daty

wydano

2006

online

2017-12-19

Twórcy

autor

Jan Milewski

Identyfikatory

DOI

10.14708/cm.v46i2.5220