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Unduloids and their geometry

Mariana Hadzhilazova, Ivaïlo M. Mladenov, John Oprea (2007)

Archivum Mathematicum

In this paper we consider non-compact cylinder-like surfaces called unduloids and study some aspects of their geometry. In particular, making use of a Kenmotsu-type representation of these surfaces, we derive explicit formulas for the lengths and areas of arbitrary segments, along with a formula for the volumes enclosed by them.

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