Closed almost Kähler 4-manifolds of constant non-negative Hermitian holomorphic sectional curvature are Kähler

We show that a closed almost Kähler 4-manifold of pointwise constant holomorphic sectional curvature k≥0 with respect to the canonical Hermitian connection is automatically Kähler. The same result holds for k<0 if we require in addition that the Ricci curvature is J-invariant. The proofs are base...

Szczegółowa specyfikacja

Opis bibliograficzny
Główni autorzy: Lejmi, M, Upmeier, M
Format: Journal article
Język:English
Wydane: Mathematical Institute of Tohoku University 2020