Some critical almost Kähler structures

• Autorzy: Takashi Oguro , Kouei Sekigawa
• Języki publikacji: EN

Abstrakty

EN

We consider the set of all almost Kähler structures (g,J) on a 2n-dimensional compact orientable manifold M and study a critical point of the functional $ℱ_{λ,μ}(J,g) = ∫_{M} (λτ + μτ*)dM_{g}$ with respect to the scalar curvature τ and the *-scalar curvature τ*. We show that an almost Kähler structure (J,g) is a critical point of $ℱ_{-1,1}$ if and only if (J,g) is a Kähler structure on M.

Kategorie tematyczne

• 53C55: Hermitian and K\"ahlerian manifolds
• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 111
• Numer: 2
• Strony: 205-212

Daty

wydano

2008

Twórcy

autor

Takashi Oguro

• Department of Mathematical Sciences, School of Science and Engineering, Tokyo Denki University, Saitama, 350-0394, Japan

autor

Kouei Sekigawa

• Department of Mathematics, Faculty of Science, Niigata University, Niigata, 950-2181, Japan

Identyfikatory

DOI

10.4064/cm111-2-4