Examples of Self-dual, Einstein metrics of $(2,2)$-signature

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dc.creatorBlazic, Novica
dc.creatorVukmirovic, Srdjan
dc.date2002-06-08
dc.date.accessioned2026-07-07T04:48:59Z
dc.date.available2026-07-07T04:48:59Z
dc.descriptionIn this paper we construct a family of examples of self-dual Einstain metrics of neutral signature, which are not Ricci flat, nor locally homogenous. Curvature of these manifolds is studied in details. These are obtained by the para-quaternionic reduction. We compare our examples with the orbifolds $\oo$ given by Galicki and Lawson, for which some new properties are also established. Particularly, the sign and the pinching of their sectional curvatures are studied.
dc.description9 pages, LaTex2e
dc.identifierhttps://arxiv.org/abs/math/0206081
dc.identifierhttp://arxiv.org/abs/math/0206081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64258
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C07; 53G10; 53C80; 53C15
dc.titleExamples of Self-dual, Einstein metrics of $(2,2)$-signature
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