Latent Quaternionic Geometry

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dc.creatorGambioli, A.
dc.date2006-04-10
dc.date.accessioned2026-07-07T07:10:43Z
dc.date.available2026-07-07T07:10:43Z
dc.descriptionIn this article we discuss the interaction between the geometry of a quaternion-Kahler manifold M and that of the Grassmannian G(3,g) of oriented 3-dimensional subspaces of a compact Lie algebra g. This interplay is described mainly through the moment mapping induced by the action of a group G of quaternionic isometries on M. We give an alternative expression for the endomorphisms I_{1},I_{2},I_{3}, both in terms of the holonomy representation of M and the structure of the Grassmannian's tangent space. A correspondence between the solutions of respective twistor-type equations on M and G(3,g) is provided.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0604219
dc.identifierhttp://arxiv.org/abs/math/0604219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111509
dc.subjectDifferential Geometry
dc.subject53C26 (Primary); 53C35, 53C42, 53C28, 22E46, 57S25 (Secondary)
dc.titleLatent Quaternionic Geometry
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