Open AccessIntroducing Weingarten cyclic surfaces in R3
Author(s) -
Fathi M. Hamdoon,
Mahmoud A. Abd-Rabo
Publication year - 2016
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2016.06.001
Subject(s) - quadric , mathematics , curvature , space (punctuation) , geometry , surface (topology) , minimal surface , foliation (geology) , type (biology) , mathematical analysis , pure mathematics , geology , computer science , paleontology , operating system , geochemistry , metamorphic rock
In this paper, Cyclic surfaces are introduced using the foliation of circles of curvature of a space curve. The conditions on a space curve such that these cyclic surfaces are of type Weingarten surfaces or HK-quadric surfaces are obtained. Finally, some examples are given and plotted
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