Vanishing Theorems for Quaternionic Complexes

DOI10.1112/S0024609396002470zbMath0901.58059MaRDI QIDQ4342120

Yasuyuki Nagatomo, Takashi Gyoshin Nitta

Publication date: 26 November 1998

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Dolbeault cohomologytwistor spacevanishing theoremsquaternion-Kähler manifoldanti-selfduality

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Differential complexes (58J10) Vanishing theorems (32L20)

Related Items (9)

Moduli of 1-instantons on \(G_ 2(\mathbb{C}^{n+2})\) ⋮ Quaternionic analytic torsion. ⋮ The twistor sections on the Wolf spaces ⋮ Representation theory and ADHM-construction on quaternion symmetric spaces ⋮ On quaternionic complexes over unimodular quaternionic manifolds ⋮ ESTIMATING THE EIGENVALUES ON QUATERNIONIC KÄHLER MANIFOLDS ⋮ A RIGIDITY THEOREM FOR QUATERNIONIC KÄHLER STRUCTURES ⋮ QUATERNIONIC CONNECTIONS, INDUCED HOLOMORPHIC STRUCTURES AND A VANISHING THEOREM ⋮ Special geometries associated to quaternion-Kähler 8-manifolds

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