Keti Tenenblat

“A minimal surface associated to a catenoid”

digital art printed on photographic paper, 20" x 20", 2003.



This is part of a minimal surface in Euclidean space associated to a catenoid by a Ribaucour transformation. This surface is an example of the families of minimal surfaces obtained in the paper by Corro, A., Ferreira, W., Tenenblat K. "Minimal surfaces obtained by Ribaucour transformations", Geometriae Dedicata 96 (2003), 117-150.



Keti Tenenblat, Professor of Mathematics, Department of Mathematics,University of Brasilia, Brazil

"Surfaces of constant mean curvature and in particular minimal surfaces are obtained by the method of Ribaucour transformations. The method consists in obtaining families of new surfaces of constant mean curvature from a given such surface, by integrating a system of partial differential equations, called Ribaucour transformations. These families depend on at least two parameters. Each choice of these parameters gives a different surface which is an example of mathematical art. "

Another work by the artist

“A constant mean curvature surface associated to an onduloid”