On the associated family of Delaunay surfaces

Kilian, M.

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

On the associated family of Delaunay surfaces
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by M. Kilian

Proc. Amer. Math. Soc. 132 (2004), 3075-3082

DOI: https://doi.org/10.1090/S0002-9939-04-07483-0

Published electronically: May 12, 2004

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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.

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