Some Ricci Flat (pseudo-) Riemannian Geometries

Metin Gurses

Some Ricci Flat (pseudo-) Riemannian Geometries

Differential Geometry 2007-05-23 v1

Authors: Metin Gurses

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.

Keywords

ricci curvature and riemannian geometry riemannian geometry surface theory

Cite

@article{arxiv.math/0006041,
  title  = {Some Ricci Flat (pseudo-) Riemannian Geometries},
  author = {Metin Gurses},
  journal= {arXiv preprint arXiv:math/0006041},
  year   = {2007}
}

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