著者

伊藤 仁一 山下 雄太郎 Jin-ichi Itoh Yutaro Yamashita

出版者

熊本大学

雑誌

熊本大学教育学部紀要 (ISSN:21881871)

巻号頁・発行日

vol.63, pp.347-356, 2014-12-12

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A circular surface is a one parameter family of round circles in Euclidean space and which is defined in [2]. The circular surface is determined by a space curve of circular center and planes containing circles. First we study the sufficient condition that the special circular surfaces with constant radius whose normal directions of the planes are rotating around the curve, are embeddings. Next we study the condition that circular surface with constant radius are immersions. Moreover, we discussed the relation between the double circular surfaces (i.e. at least two circles through any point) and quadratic surfaces.