Great circular surfaces in the three-sphere


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/46790

Title:	Great circular surfaces in the three-sphere
Authors:	Izumiya, Shyuichi Browse this author
	Nagai, Takayuki Browse this author
	Saji, Kentaro Browse this author
Keywords:	The 3-sphere
	Spherical geometry
	Great circle
	Great circular surface
	Extrinsic flat surface
	Singularities
Issue Date:	Jun-2011
Publisher:	Elsevier B.V.
Journal Title:	Differential Geometry and its Applications
Volume:	29
Issue:	3
Start Page:	409
End Page:	425
Publisher DOI:	10.1016/j.difgeo.2011.02.005
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.
Type:	article (author version)
URI:	http://hdl.handle.net/2115/46790
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 泉屋周一

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