Abstract : We show the existence in the space $\mathbb{H}^2 \times \mathbb{R}$ of a family of embedded minimal surfaces of genus $1 \leq k < +\infty$ and finite total extrinsic curvature with two catenoidal type ends and one middle planar end. The proof is based on a gluing procedure.
Type de document :
Article dans une revue
Transactions of the American Mathematical Society, American Mathematical Society, 2011, 363 (1), pp.1-36
https://hal-upec-upem.archives-ouvertes.fr/hal-00693003
Contributeur : Admin Lama
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Soumis le : mardi 1 mai 2012 - 19:24:12
Dernière modification le : jeudi 11 janvier 2018 - 06:12:17
Filippo Morabito. A COSTA-HOFFMAN-MEEKS TYPE SURFACE IN $\mathbb{H}^2 \times \mathbb{R}$. Transactions of the American Mathematical Society, American Mathematical Society, 2011, 363 (1), pp.1-36. 〈hal-00693003〉
