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

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In 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.
9 pages, LaTex2e

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Differential Geometry, Mathematical Physics, 53C07; 53G10; 53C80; 53C15

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http://salesiana.dossiersoluciones.com/handle/123456789/64258

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206081
 http://arxiv.org/abs/math/0206081

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arXiv