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Extrinsic Flat Surfaces Along a Curve on a Surface in the Unit Three-Sphere

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Title: Extrinsic Flat Surfaces Along a Curve on a Surface in the Unit Three-Sphere
Authors: Jiang, Yang Browse this author
Izumiya, Shyuichi Browse this author →KAKEN DB
Keywords: The unit 3-sphere
great circular surfaces
spherical duality
Issue Date: 15-Oct-2020
Publisher: Springer
Journal Title: Mediterranean journal of mathematics
Volume: 17
Issue: 6
Start Page: 172
Publisher DOI: 10.1007/s00009-020-01606-3
Abstract: In this paper, we consider the curves on the surface in the unit 3-sphere. For a regular curve on a surface in the unit 3-sphere, we have a moving frame along the curve which is called a spherical Darboux frame. We induce two special vector fields along the curve with respect to the spherical Darboux frame and investigate the singularities of extrinsic flat great circular surfaces associated with these vector fields.
Rights: This is a post-peer-review, pre-copyedit version of an article published in Mediterranean journal of mathematics. The final authenticated version is available online at:
Type: article (author version)
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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