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Non-existence of almost Kähler structure on hyperbolic spaces of dimension 2n(...4).

Kouei Sekigawa; Takashi Oguro — 1994

Mathematische Annalen

Some critical almost Kähler structures

Takashi Oguro; Kouei Sekigawa — 2008

Colloquium Mathematicae

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 $ℱ_{λ, μ} (J, g) = \int_{M} (λ τ + μ τ *) d M_{g}$ 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.

On some compact almost Kähler locally symmetric space.

Oguro, Takashi — 1998

International Journal of Mathematics and Mathematical Sciences

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Currently displaying 1 – 3 of 3

Non-existence of almost Kähler structure on hyperbolic spaces of dimension 2n(...4).

Some critical almost Kähler structures

On some compact almost Kähler locally symmetric space.