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Generic submanifolds of a locally conformal Kaehler manifold. II.

Shahid, M.Hasan; Sekigawa, Kouei — 1993

International Journal of Mathematics and Mathematical Sciences

On Some 4-Dimensional Compact Einstein Almost Kähler Manifolds.

Kouei Sekigawa — 1985

Mathematische Annalen

Hermitian surfaces of constant holomorphic sectional curvature.

Kouei Sekigawa; Takuji Sato — 1990

Mathematische Zeitschrift

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.

Harmonic maps and $s$ -regular manifolds

Kouei Sekigawa; Lieven Vanhecke — 1989

Časopis pro pěstování matematiky

Four-dimensional curvature homogeneous spaces

Kouei Sekigawa; Hiroshi Suga; Lieven Vanhecke — 1992

Commentationes Mathematicae Universitatis Carolinae

We prove that a four-dimensional, connected, simply connected and complete Riemannian manifold which is curvature homogeneous up to order two is a homogeneous Riemannian space.

A curvature identity on a 6-dimensional Riemannian manifold and its applications

Yunhee Euh; Jeong Hyeong Park; Kouei Sekigawa — 2017

Czechoslovak Mathematical Journal

We derive a curvature identity that holds on any 6-dimensional Riemannian manifold, from the Chern-Gauss-Bonnet theorem for a 6-dimensional closed Riemannian manifold. Moreover, some applications of the curvature identity are given. We also define a generalization of harmonic manifolds to study the Lichnerowicz conjecture for a harmonic manifold “a harmonic manifold is locally symmetric” and provide another proof of the Lichnerowicz conjecture refined by Ledger for the 4-dimensional case under a...

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