Unduloids and their geometry
Mariana Hadzhilazova; Ivaïlo M. Mladenov; John Oprea
Archivum Mathematicum (2007)
- Volume: 043, Issue: 5, page 417-429
- ISSN: 0044-8753
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topHadzhilazova, Mariana, Mladenov, Ivaïlo M., and Oprea, John. "Unduloids and their geometry." Archivum Mathematicum 043.5 (2007): 417-429. <http://eudml.org/doc/250167>.
@article{Hadzhilazova2007,
abstract = {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.},
author = {Hadzhilazova, Mariana, Mladenov, Ivaïlo M., Oprea, John},
journal = {Archivum Mathematicum},
keywords = {mean curvature; unduloid; mean curvature; unduloid},
language = {eng},
number = {5},
pages = {417-429},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Unduloids and their geometry},
url = {http://eudml.org/doc/250167},
volume = {043},
year = {2007},
}
TY - JOUR
AU - Hadzhilazova, Mariana
AU - Mladenov, Ivaïlo M.
AU - Oprea, John
TI - Unduloids and their geometry
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 5
SP - 417
EP - 429
AB - 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.
LA - eng
KW - mean curvature; unduloid; mean curvature; unduloid
UR - http://eudml.org/doc/250167
ER -
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