2024-03-29T02:36:01Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/697682022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Great circular surfaces in the three-sphereIzumiya, ShyuichiNagai, TakayukiSaji, Kentaroopen access3-spherespherical geometrygreat circlegreat circular surfaceextrinsic at surfacesingularities410In this paper, we consider a special class of the surfaces in 3-sphere de ned by oneparameter families of great circles. We give a generic classi cation of singularities of such surfaces and investigate the geometric meanings from the view point of spherical geometry.Department of Mathematics, Hokkaido University2010-05-10engdepartmental bulletin paperVoRhttps://doi.org/10.14943/84108http://hdl.handle.net/2115/6976810.14943/84108Hokkaido University Preprint Series in Mathematics961122https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69768/1/pre961.pdfapplication/pdf305.69 KB2010-05-10