Vector bundles over quaternionic Kahler manifolds
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In this article, an analogue quaternionique kahlerien des connexions auto-duales and anti-auto-duale is presented. Butler et al. construit une correspondance naturelle entre un fibre vectoriel avec de telles connexion and l'ensemble des fibres vectoriels d'Einstein hermitiens sur ZAbstract:
On donne un analogue quaternionique kahlerien des connexions auto-duales et anti-auto-duales. On construit une correspondance naturelle entre un fibre vectoriel avec de telles connexions et l'ensemble des fibres vectoriels d'Einstein hermitiens sur Zread more
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Hyperholomorphic sheaves and new examples of hyperkaehler manifolds
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Yang–Mills connections over manifolds with Grassmann structure
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Yang–Mills Connections and Einstein–Hermitian Metrics
Mitsuhiro Itoh,Hiraku Nakajima +1 more
Quaternion Algebraic Geometry
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References
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Self-duality in four-dimensional Riemannian geometry
TL;DR: In this article, the authors present a self-contained account of the ideas of R. Penrose connecting four-dimensional Riemannian geometry with three-dimensional complex analysis, and apply this to the self-dual Yang-Mills equations in Euclidean 4-space and compute the number of moduli for any compact gauge group.
Journal ArticleDOI
Contact structures on twistor spaces
Takashi Nitta,Masaru Takeuchi +1 more
TL;DR: Soit (M,g,H) une variete de Kahler quaternionique as discussed by the authors, on etudie les groupes d'automorphismes de l'espace torseur Z de