Application of spaces of subspheres to conformal invariants of curves and canal surfaces

Rémi Langevin*, Jun O'Hara, Shigehiro Sakata

*この研究の対応する著者

研究成果査読

抄録

We review some techniques from the Möbius geometry of curves and surfaces in the 3-sphere, consider canal surfaces using their characteristic circles, and express the conformal curvature, and conformal torsion, of a vertex-free space curve in terms of its corresponding curve of osculating circles, and osculating spheres, respectively. We accomplish all of this strictly within the framework of Möbius geometry, and compare our results with the literature. Finally, we show how our formulation allows for the re-expression of the conformal invariants in terms of standard Euclidean invarian

本文言語English
ページ(範囲)109-131
ページ数23
ジャーナルAnnales Polonici Mathematici
108
2
DOI
出版ステータスPublished - 2013
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

フィンガープリント

「Application of spaces of subspheres to conformal invariants of curves and canal surfaces」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル