Vanishing theorem for cohomology groups of \(c_ 2\)-self-dual bundles on quaternionic Kähler manifolds

DOI10.1016/0926-2245(95)00008-RzbMath0839.53021OpenAlexW1983171157WikidataQ115362576 ScholiaQ115362576MaRDI QIDQ1842135

Yasuyuki Nagatomo

Publication date: 18 June 1996

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0926-2245(95)00008-r

zbMATH Keywords

twistor spacepositive scalar curvatureYang-Mills fieldsquaternionic Kähler manifoldself-dual connection

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Twistor theory, double fibrations (complex-analytic aspects) (32L25)

Related Items (2)

Moduli of 1-instantons on \(G_ 2(\mathbb{C}^{n+2})\) ⋮ Representation theory and ADHM-construction on quaternion symmetric spaces

Cites Work

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• Vector bundles over quaternionic Kähler manifolds
• Instantons and sheaves on \(C\mathbb{P}^3\)
• Quaternionic Kaehler manifolds
• Quaternionic complexes
• On the Atiyah-Hitchin-Drinfeld-Manin vanishing theorem for cohomology groups of instanton bundles
• Construction of \(c_ 2\)-self-dual bundles on a quaternionic projective space
• Duality and Yang–Mills fields on quaternionic Kähler manifolds
• Linear field equations on self-dual spaces
• Self-duality in four-dimensional Riemannian geometry
• Rigidity of c1-self-dual connections on quaternionic Kähler manifolds
• Yang-Mills fields on quaternionic spaces
• Topology of Quaternionic Manifolds

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