Examples of self-dual, Einstein metrics of $(2,2)$-signature
DOI:
https://doi.org/10.7146/math.scand.a-14430Abstract
In this paper we use para-quaternionic reduction to construct a family of examples of self-dual Einstain metrics of neutral signature, which are not Ricci flat, nor locally homogenous. The curvature of these manifolds is studied in detail and these examples are compared with the orbifolds $\mathcal O_{p,q}(1)$ given by Galicki and Lawson. Particular attention is given to the sign and to the pinching of the sectional curvatures.Downloads
Published
2004-03-01
How to Cite
Blažić, N., & Vukmirović, S. (2004). Examples of self-dual, Einstein metrics of $(2,2)$-signature. MATHEMATICA SCANDINAVICA, 94(1), 63–74. https://doi.org/10.7146/math.scand.a-14430
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