Classification of Möbius homogeneous curves in R4

Tongzhu Li*, Ruiyang Lin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we investigate the Möbius geometry of curves in R4. First, using moving frame methods we construct a complete system of Möbius invariants for regular curves in R4 by the isometric invariants. Second, we completely classify the Möbius homogeneous curves in R4 up to a Möbius transformation of R4.

Original languageEnglish
Pages (from-to)23027-23046
Number of pages20
JournalAIMS Mathematics
Volume9
Issue number8
DOIs
Publication statusPublished - 2024

Keywords

  • Möbius arclength
  • Möbius curvature
  • Möbius homogeneous curve
  • Möbius transformation group

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