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math.DG2008★ 6 cited
Complete minimal surfaces in R3 with a prescribed coordinate function
Antonio Alarcon, Isabel Fernandez
In this paper we construct complete simply connected minimal surfaces with a prescribed coordinate function. Moreover, we prove that these surfaces are dense in the space of all mi…
math.DG2008
Compact complete proper minimal immersions in strictly convex bounded regular domains of R^3
Antonio Alarcon
Consider a strictly convex bounded regular domain of . For any arbitrary finite topological type we find a compact Riemann surface , an open domain $M\subset…