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Constant angle surfaces in $ {\Bbb S}^2\times {\Bbb R} $

Authors :
Joeri Van der Veken
Franki Dillen
Johan Fastenakels
Luc Vrancken
Source :
Monatshefte für Mathematik. 152:89-96
Publication Year :
2007
Publisher :
Springer Science and Business Media LLC, 2007.

Abstract

In this article we study surfaces in \( {\Bbb S}^2\times {\Bbb R} \) for which the unit normal makes a constant angle with the \( {\Bbb R} \)-direction. We give a complete classification for surfaces satisfying this simple geometric condition.

Details

ISSN :
14365081 and 00269255
Volume :
152
Database :
OpenAIRE
Journal :
Monatshefte für Mathematik
Accession number :
edsair.doi...........5b4bc4bc30585b1c2bafa86daf3a1c1b
Full Text :
https://doi.org/10.1007/s00605-007-0461-9