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^*

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

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.

源语言	英语
页（从-至）	1197-1214
页数	18
期刊	Science China Mathematics
卷	55
期	6
DOI	https://doi.org/10.1007/s11425-011-4308-4
出版状态	已出版 - 6月 2012

访问文件

10.1007/s11425-011-4308-4

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{d65e4d983737462594b2592e9ffd93de,

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.",

keywords = "Laguerre geometry, Laguerre homogeneous surfaces, Laguerre transformation groups",

author = "Li, {Tong Zhu}",

year = "2012",

month = jun,

doi = "10.1007/s11425-011-4308-4",

language = "English",

volume = "55",

pages = "1197--1214",

journal = "Science China Mathematics",

issn = "1674-7283",

publisher = "Science China Press",

number = "6",

}

TY - JOUR

T1 - Laguerre homogeneous surfaces in ℝ 3

AU - Li, Tong Zhu

PY - 2012/6

Y1 - 2012/6

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 - http://www.scopus.com/inward/record.url?scp=84861711476&partnerID=8YFLogxK

U2 - 10.1007/s11425-011-4308-4

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

摘要

访问文件

其它文件与链接

指纹

引用此

Laguerre homogeneous surfaces in ℝ ³