113 citations · 422 across the 34 of their papers we have counts for
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math.DG2014
Functionals on Closed 2-Surfaces
Metin Gurses
We show that the 2-torus in is a critical point of a sequence of functionals () defined over compact 2-surfaces in .…
math.DG2000★ 1 cited
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★ 2 cited
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…