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

Novica Blazic; Srdjan Vukmirovic

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

Differential Geometry 2007-05-23 v1 Mathematical Physics math.MP

Authors: Novica Blazic , Srdjan Vukmirovic

Abstract

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.

Keywords

self-dual metrics Einstein metrics neutral signature para-quaternionic reduction sectional curvature orbifolds

Cite

@article{arxiv.math/0206081,
  title  = {Examples of Self-dual, Einstein metrics of $(2,2)$-signature},
  author = {Novica Blazic and Srdjan Vukmirovic},
  journal= {arXiv preprint arXiv:math/0206081},
  year   = {2007}
}

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9 pages, LaTex2e

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

Abstract

Keywords

Cite

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