JournalscmhVol. 73, No. 2pp. 298–305

An example of an immersed complete genus one minimal surface in R3 \Bbb {R}^3 with two convex ends

  • B. Nelli

    Università di Pisa, Italy
An example of an immersed complete genus one minimal surface in $ \Bbb {R}^3 $ with two convex ends cover

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.

Cite this article

B. Nelli, An example of an immersed complete genus one minimal surface in R3 \Bbb {R}^3 with two convex ends. Comment. Math. Helv. 73 (1998), no. 2, pp. 298–305

DOI 10.1007/S000140050056