We prove the existence of a compact genus one immersed minimal surface M, whose boundary is the union of two immersed locally convex curves lying in parallel planes. M is a part of a complete minimal surface with two finite total curvature ends.
An Example of an Immersed Complete Genus One Minimal Surface in R^3 with Two Convex Ends
NELLI, BARBARA
1998
Abstract
We prove the existence of a compact genus one immersed minimal surface M, whose boundary is the union of two immersed locally convex curves lying in parallel planes. M is a part of a complete minimal surface with two finite total curvature ends.File in questo prodotto:
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