Laguerre homogeneous surfaces in ℝ 3

Tong Zhu Li

doi:10.1007/s11425-011-4308-4

Laguerre homogeneous surfaces in ℝ ³

Tong Zhu Li^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1007/s11425-011-4308-4
Publication status	Published - Jun 2012

Keywords

Laguerre geometry
Laguerre homogeneous surfaces
Laguerre transformation groups

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10.1007/s11425-011-4308-4

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title = "Laguerre homogeneous surfaces in ℝ 3 ",

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.",

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AU - Li, Tong Zhu

PY - 2012/6

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N2 - 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.

AB - 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.

KW - Laguerre geometry

KW - Laguerre homogeneous surfaces

KW - Laguerre transformation groups

UR - https://www.scopus.com/pages/publications/84861711476

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DO - 10.1007/s11425-011-4308-4

M3 - Article

AN - SCOPUS:84861711476

SN - 1674-7283

VL - 55

SP - 1197

EP - 1214

JO - Science China Mathematics

JF - Science China Mathematics

IS - 6

ER -

Laguerre homogeneous surfaces in ℝ ³

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