2006/11/23 by Rodriguez, M. Magdalena
#49Q05 #53A10 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.math/0611738
We describe the family of minimal graphs on strips with boundary values ±∞ disposed alternately on edges of length one, and whose conjugate graphs are contained in horizontal slabs of width one in ℝ3. We can obtain as limits of such graphs the helicoid, all the doubly periodic Scherk minimal surfaces and the singly periodic Scherk minimal surface of angle π/2.