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Some Ricci Flat (pseudo-) Riemannian Geometries

Metin Gurses
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Abstract

We define a class of two dimensional surfaces conformally related to minimal surfaces in flat three dimensional geometries. By the utility of the metrics of such surfaces we give a construction of the metrics of $2 N$ dimensional Ricci flat (pseudo-) Riemannian geometries.

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Metin Gurses. 2000-06-06. Some Ricci Flat (pseudo-) Riemannian Geometries. https://arxiv.org/abs/math/0006041

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