Rigidity of c1-self-dual connections on quaternionic Kähler manifolds

DOI10.1063/1.529989zbMath0767.53048OpenAlexW1985591109MaRDI QIDQ4697227

Yasuyuki Nagatomo

Publication date: 29 June 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529989

zbMATH Keywords

quaternionic Kähler manifoldsself-dual connectionsnonzero scalar curvature

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)

Related Items (4)

Moduli of 1-instantons on \(G_ 2(\mathbb{C}^{n+2})\) ⋮ Representation theory and ADHM-construction on quaternion symmetric spaces ⋮ Vanishing theorem for cohomology groups of \(c_ 2\)-self-dual bundles on quaternionic Kähler manifolds ⋮ Dimensional reduction and moment maps

Cites Work

• Vector bundles over quaternionic Kähler manifolds
• Quaternionic Kaehler manifolds
• On weakly stable Yang-Mills fields over positively pinched manifolds and certain symmetric spaces
• Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems
• Duality and Yang–Mills fields on quaternionic Kähler manifolds
• Yang-Mills fields on quaternionic spaces

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