A COSTA-HOFFMAN-MEEKS TYPE SURFACE IN H-2 X R

作者:Morabito Filippo*
来源:Transactions of the American Mathematical Society, 2011, 363(1): 1-36.
DOI:10.1090/S0002-9947-2010-04952-9

摘要

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.

  • 出版日期2011-1