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

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10.1007/s11425-011-4308-4

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引用此

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

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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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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.

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KW - Laguerre transformation groups

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Laguerre homogeneous surfaces in ℝ 3

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Laguerre homogeneous surfaces in ℝ ³