We show the existence in the space H-2 x R of a family of embedded minimal surfaces of genus 1 <= k < +infinity and finite total extrinsic curvature with two catenoidal type ends and one middle planar end. The proof is based on a gluing procedure.
A Costa-Hoffman-Meeks type surface in H2×R
Morabito F.
2011-01-01
Abstract
We show the existence in the space H-2 x R of a family of embedded minimal surfaces of genus 1 <= k < +infinity and finite total extrinsic curvature with two catenoidal type ends and one middle planar end. The proof is based on a gluing procedure.File in questo prodotto:
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