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ISSN 1088-6850(e) ISSN 0002-9947(p)

A Costa-Hoffman-Meeks type surface in ${\mathbb{H}^2 \times \mathbb{R} }$

Author(s): Filippo Morabito
Journal: Trans. Amer. Math. Soc. 363 (2011), 1-36.
MSC (2000): Primary 53A10, 49Q05
Posted: September 1, 2010
MathSciNet review: 2719669
Retrieve article in: PDF

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Abstract: We show the existence in the space ${\mathbb{H}}^2 \times \mathbb{R}$ of a family of embedded minimal surfaces of genus $1\leqslant k<+\infty$ and finite total extrinsic curvature with two catenoidal type ends and one middle planar end. The proof is based on a gluing procedure.

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