Dressing CMC n-Noids

M. Kilian; N. Schmitt; I. Sterling

doi:10.1007/s00209-003-0587-y

Dressing CMC n-Noids

M. Kilian
, N. Schmitt
, I. Sterling

University of Bath, Department of Mathematical Sciences
Technical University of Berlin
St. Mary's College of Maryland

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

Abstract

The purpose of this paper is to construct CMC n-noids with bubbletons. We recall a specific class of dressing matrices, which we will refer to as simple factor dressing matrices, which in many known cases add bubbletons to a CMC surface. Our new surfaces are obtained by dressing known n-noids with embedded Delaunay ends by well chosen simple factor dressing matrices in such a way that the dressed surface is also a CMC n-noid.

Original language	English
Pages (from-to)	501-519
Number of pages	19
Journal	Mathematische Zeitschrift
Volume	246
Issue number	3
DOIs	https://doi.org/10.1007/s00209-003-0587-y
Publication status	Published - Mar 2004
Externally published	Yes

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title = "Dressing CMC n-Noids",

abstract = "The purpose of this paper is to construct CMC n-noids with bubbletons. We recall a specific class of dressing matrices, which we will refer to as simple factor dressing matrices, which in many known cases add bubbletons to a CMC surface. Our new surfaces are obtained by dressing known n-noids with embedded Delaunay ends by well chosen simple factor dressing matrices in such a way that the dressed surface is also a CMC n-noid.",

author = "M. Kilian and N. Schmitt and I. Sterling",

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AU - Sterling, I.

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N2 - The purpose of this paper is to construct CMC n-noids with bubbletons. We recall a specific class of dressing matrices, which we will refer to as simple factor dressing matrices, which in many known cases add bubbletons to a CMC surface. Our new surfaces are obtained by dressing known n-noids with embedded Delaunay ends by well chosen simple factor dressing matrices in such a way that the dressed surface is also a CMC n-noid.

AB - The purpose of this paper is to construct CMC n-noids with bubbletons. We recall a specific class of dressing matrices, which we will refer to as simple factor dressing matrices, which in many known cases add bubbletons to a CMC surface. Our new surfaces are obtained by dressing known n-noids with embedded Delaunay ends by well chosen simple factor dressing matrices in such a way that the dressed surface is also a CMC n-noid.

UR - https://www.scopus.com/pages/publications/1542718461

U2 - 10.1007/s00209-003-0587-y

DO - 10.1007/s00209-003-0587-y

M3 - Article

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VL - 246

SP - 501

EP - 519

JO - Mathematische Zeitschrift

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Dressing CMC n-Noids

Abstract

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