On compact astheno-Kähler manifolds

DOI10.4064/cm89-2-6zbMath1032.53018OpenAlexW2030753840MaRDI QIDQ2759164

Takao Takahashi, Koji Matsuo

Publication date: 11 December 2001

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm89-2-6

zbMATH Keywords

Sasakian manifoldscosymplectic manifoldsHermitian connectionastheno-Kähler manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (12)

Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry ⋮ Eigenvalues of the complex Laplacian on compact non-Kähler manifolds ⋮ Pluriclosed star split Hermitian metrics ⋮ On cohomological and formal properties of strong Kähler with torsion and astheno-Kähler metrics ⋮ Deformations of astheno-Kähler metrics ⋮ The Fu-Yau equation on compact astheno-Kähler manifolds ⋮ On generalized Gauduchon metrics ⋮ On non-Kähler compact complex manifolds with balanced and astheno-Kähler metrics ⋮ Statistical mirror symmetry ⋮ On the conformally balanced condition on almost Hermitian manifolds and the quasi-Kählerity ⋮ A flow of conformally balanced metrics with Kähler fixed points ⋮ Hermitian metrics, \((n-1,n-1)\) forms and Monge-Ampère equations

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