Twistor and Reflector Spaces of Almost Para-Quaternionic Manifolds

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dc.creatorIvanov, Stefan
dc.creatorMinchev, Ivan
dc.creatorZamkovoy, Simeon
dc.date2005-11-27
dc.date.accessioned2026-07-07T06:51:47Z
dc.date.available2026-07-07T06:51:47Z
dc.descriptionWe investigate the integrability of natural almost complex structures on the twistor space of an almost para-quaternionic manifold as well as the integrability of natural almost paracomplex structures on the reflector space of an almost para-quaternionic manifold constructed with the help of a para-quaternionic connection. We show that if there is an integrable structure it is independent on the para-quaternionic connection. In dimension four, we express the anti-self-duality condition in terms of the Riemannian Ricci forms with respect to the associated para-quaternionic structure.
dc.descriptionLaTeX, 16 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0511657
dc.identifierhttp://arxiv.org/abs/math/0511657
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105101
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject53C15, 5350
dc.titleTwistor and Reflector Spaces of Almost Para-Quaternionic Manifolds
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