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Great circular surfaces in the three-sphere

Preprint Series # 961
Izumiya, Shyuichi and Nagai, Takayuki and Saji, Kentaro Great circular surfaces in the three-sphere. (06 May 2010);

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Abstract

In this paper, we consider a special class of the surfaces in 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.

Item Type:Preprint
Uncontrolled Keywords: 3-sphere, spherical geometry, great circle, great circular surface, extrinsic flat surface, singularities
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:2052

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  • Great circular surfaces in the three-sphere. (deposited 18 May 2010 14:29) [Currently Displayed]