Geodesic
Unduloids and their geometry
Archivum mathematicum, Tome 43 (2007) no. 5, pp. 417-429
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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.
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.
Classification : 49Q10, 53-04, 53A05, 53C42, 53Cxx
Keywords: mean curvature; unduloid 
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Hadzhilazova, Mariana; Mladenov, Ivaïlo M.; Oprea, John. Unduloids and their geometry. Archivum mathematicum, Tome 43 (2007) no. 5, pp. 417-429. http://geodesic.mathdoc.fr/item/ARM_2007_43_5_a6/

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