Constant mean curvature surfaces of any positive genus

M. Kilian; S. P. Kobayashi; W. Rossman; N. Schmitt

doi:10.1112/S0024610705006472

Constant mean curvature surfaces of any positive genus

M. Kilian
, S. P. Kobayashi
, W. Rossman
, N. Schmitt

Research output: Contribution to journal › Article › peer-review

Abstract

The paper shows the existence of several new families of noncompact constant mean curvature surfaces: (i) singly punctured surfaces of arbitrary genus g ≥ 1, (ii) doubly punctured tori, and (iii) doubly periodic surfaces with Delaunay ends.

Original language	English
Pages (from-to)	258-272
Number of pages	15
Journal	Journal of the London Mathematical Society
Volume	72
Issue number	1
DOIs	https://doi.org/10.1112/S0024610705006472
Publication status	Published - Aug 2005
Externally published	Yes

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title = "Constant mean curvature surfaces of any positive genus",

abstract = "The paper shows the existence of several new families of noncompact constant mean curvature surfaces: (i) singly punctured surfaces of arbitrary genus g ≥ 1, (ii) doubly punctured tori, and (iii) doubly periodic surfaces with Delaunay ends.",

author = "M. Kilian and Kobayashi, \{S. P.\} and W. Rossman and N. Schmitt",

year = "2005",

month = aug,

doi = "10.1112/S0024610705006472",

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AU - Kilian, M.

AU - Kobayashi, S. P.

AU - Rossman, W.

AU - Schmitt, N.

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N2 - The paper shows the existence of several new families of noncompact constant mean curvature surfaces: (i) singly punctured surfaces of arbitrary genus g ≥ 1, (ii) doubly punctured tori, and (iii) doubly periodic surfaces with Delaunay ends.

AB - The paper shows the existence of several new families of noncompact constant mean curvature surfaces: (i) singly punctured surfaces of arbitrary genus g ≥ 1, (ii) doubly punctured tori, and (iii) doubly periodic surfaces with Delaunay ends.

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DO - 10.1112/S0024610705006472

M3 - Article

AN - SCOPUS:33644613230

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VL - 72

SP - 258

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JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

IS - 1

ER -

Constant mean curvature surfaces of any positive genus

Abstract

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