Abstract
In this paper, we study oriented surfaces of ℝ 3 in the context of Laguerre geometry. We construct Laguerre invariants on the non-Dupin developable surfaces, which determine the surfaces up to a Laguerre transformation. Finally, we classify the Laguerre homogeneous surfaces in ℝ 3 under the Laguerre transformation groups.
Original language | English |
---|---|
Pages (from-to) | 1197-1214 |
Number of pages | 18 |
Journal | Science China Mathematics |
Volume | 55 |
Issue number | 6 |
DOIs | |
Publication status | Published - Jun 2012 |
Keywords
- Laguerre geometry
- Laguerre homogeneous surfaces
- Laguerre transformation groups
Fingerprint
Dive into the research topics of 'Laguerre homogeneous surfaces in ℝ 3'. Together they form a unique fingerprint.Cite this
Li, T. Z. (2012). Laguerre homogeneous surfaces in ℝ 3 Science China Mathematics, 55(6), 1197-1214. https://doi.org/10.1007/s11425-011-4308-4