Great circular surfaces in the three-sphere |
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| Authors: | Shyuichi Izumiya Takayuki Nagai |
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| Institution: | a Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan
b Department of Mathematics, Faculty of Education, Gifu University, Yanagido 1-1, Gifu 501-1193, Japan |
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| Abstract: | In this paper, we consider a special class of the surfaces in the 3-sphere defined by one-parameter families of great circles. We give a generic classification of singularities of such surfaces and investigate the geometric meanings from the view point of spherical geometry. |
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| Keywords: | 53A35 57R45 58K40 |
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