[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2015.52.3.523

TRANSLATION AND HOMOTHETICAL SURFACES IN EUCLIDEAN SPACE WITH CONSTANT CURVATURE

Lopez, Rafael (Departamento de Geometria y Topologia Universidad de Granada)
Moruz, Marilena (Department of Mathematics Al. I. Cuza University of Iasi)

Publication Information

Journal of the Korean Mathematical Society / v.52, no.3, 2015 , pp. 523-535 More about this Journal

Abstract

We study surfaces in Euclidean space which are obtained as the sum of two curves or that are graphs of the product of two functions. We consider the problem of finding all these surfaces with constant Gauss curvature. We extend the results to non-degenerate surfaces in Lorentz-Minkowski space.

Keywords

translation surface; homothetical surface; mean curvature; Gauss curvature;

Citations & Related Records

Reference

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