On the associated family of Delaunay surfaces

M. Kilian

doi:10.1090/S0002-9939-04-07483-0

On the associated family of Delaunay surfaces

M. Kilian

University of Bath, Department of Mathematical Sciences

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

Abstract

We use the generalised Weierstraß representation of Dorfmeister, Pedit and Wu to obtain the associated family of Delaunay surfaces and derive a formula for the neck size of the surface in terms of the entries of the holomorphic potential.

Original language	English
Pages (from-to)	3075-3082
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	132
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-04-07483-0
Publication status	Published - Oct 2004
Externally published	Yes

Keywords

Delaunay surfaces
DPW method

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10.1090/S0002-9939-04-07483-0

Cite this

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abstract = "We use the generalised Weierstra{\ss} representation of Dorfmeister, Pedit and Wu to obtain the associated family of Delaunay surfaces and derive a formula for the neck size of the surface in terms of the entries of the holomorphic potential.",

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KW - DPW method

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JF - Proceedings of the American Mathematical Society

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On the associated family of Delaunay surfaces

Abstract

Keywords

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