Showing 2000Show all
2 papers · 1 filter
math.DG2000
Sigma Models, Minimal Surfaces and Some Ricci Flat Pseudo Riemannian Geometries
Metin Gurses
We consider the sigma models where the base metric is proportional to the metric of the configuration space. We show that the corresponding sigma model equation admits a Lax pair.…
math.DG2000
Some Ricci Flat (pseudo-) Riemannian Geometries
Metin Gurses
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…