Elliptic constructions of hyperkaehler metrics I: The Atiyah-Hitchin manifold

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dc.creatorIonas, Radu A.
dc.date2007-12-21
dc.date.accessioned2026-07-07T08:52:25Z
dc.date.available2026-07-07T08:52:25Z
dc.descriptionThis is the first in a series of papers in which we develop a twistor-based method of constructing hyperkaehler metrics from holomorphic functions and elliptic curves. As an application, we revisit the Atiyah-Hitchin manifold and derive in an explicit holomorphic coordinate basis closed-form formulas for, among other things, the metric, the holomorphic symplectic form and all three Kaehler potentials.
dc.description40 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0712.3598
dc.identifierhttp://arxiv.org/abs/0712.3598
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145271
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleElliptic constructions of hyperkaehler metrics I: The Atiyah-Hitchin manifold
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