Conformal homogeneous spacelike surfaces in 3-dimensional Lorentz space forms

Xiu Ji; Tongzhu Li

doi:10.1016/j.difgeo.2020.101667

Conformal homogeneous spacelike surfaces in 3-dimensional Lorentz space forms

Xiu Ji, Tongzhu Li^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

Let M₁³(c) be an 3-dimensional Lorentz space form and C(M₁³(c)) denote the conformal transformation group of M₁³(c). A spacelike surface x:M²→M₁³(c) is called a conformal homogeneous spacelike surface. If there exists a subgroup G⊂C(M₁³(c)) such that the orbit G(p)=x(M²),p∈x(M²). In this paper, we classify completely conformal homogeneous spacelike surfaces up to a conformal transformation of M₁³(c).

源语言	英语
文章编号	101667
期刊	Differential Geometry and its Application
卷	73
DOI	https://doi.org/10.1016/j.difgeo.2020.101667
出版状态	已出版 - 12月 2020

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Ji, X., & Li, T. (2020). Conformal homogeneous spacelike surfaces in 3-dimensional Lorentz space forms. Differential Geometry and its Application, 73, 文章 101667. https://doi.org/10.1016/j.difgeo.2020.101667

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abstract = "Let M13(c) be an 3-dimensional Lorentz space form and C(M13(c)) denote the conformal transformation group of M13(c). A spacelike surface x:M2→M13(c) is called a conformal homogeneous spacelike surface. If there exists a subgroup G⊂C(M13(c)) such that the orbit G(p)=x(M2),p∈x(M2). In this paper, we classify completely conformal homogeneous spacelike surfaces up to a conformal transformation of M13(c).",

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AB - Let M13(c) be an 3-dimensional Lorentz space form and C(M13(c)) denote the conformal transformation group of M13(c). A spacelike surface x:M2→M13(c) is called a conformal homogeneous spacelike surface. If there exists a subgroup G⊂C(M13(c)) such that the orbit G(p)=x(M2),p∈x(M2). In this paper, we classify completely conformal homogeneous spacelike surfaces up to a conformal transformation of M13(c).

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Conformal homogeneous spacelike surfaces in 3-dimensional Lorentz space forms

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