Conformally flat Willmore spacelike hypersurfaces in R1n+1

Zonggang Deng; Tongzhu Li

doi:10.3906/mat-1904-42

Conformally flat Willmore spacelike hypersurfaces in R1n+1

Zonggang Deng
, Tongzhu Li^*

^*此作品的通讯作者

数学学院

Hunan Vocational Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In this paper, we give the equation satisfied by umbilics-free Willmore spacelike hypersurfaces using the conformal invariants in Lorentzian space forms. At the same time, we give the equation satisfied by hyperelastic spacelike curves in 2-dimensional Lorentzian space forms and classify the closed hyperelastic spacelike curves. Finally conformally flat Willmore spacelike hypersurfaces are classified in terms of the hyperelastic spacelike curves in 2-dimensional Lorentzian space forms.

源语言	英语
页（从-至）	252-273
页数	22
期刊	Turkish Journal of Mathematics
卷	44
期	1
DOI	https://doi.org/10.3906/mat-1904-42
出版状态	已出版 - 2020

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abstract = "In this paper, we give the equation satisfied by umbilics-free Willmore spacelike hypersurfaces using the conformal invariants in Lorentzian space forms. At the same time, we give the equation satisfied by hyperelastic spacelike curves in 2-dimensional Lorentzian space forms and classify the closed hyperelastic spacelike curves. Finally conformally flat Willmore spacelike hypersurfaces are classified in terms of the hyperelastic spacelike curves in 2-dimensional Lorentzian space forms.",

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N2 - In this paper, we give the equation satisfied by umbilics-free Willmore spacelike hypersurfaces using the conformal invariants in Lorentzian space forms. At the same time, we give the equation satisfied by hyperelastic spacelike curves in 2-dimensional Lorentzian space forms and classify the closed hyperelastic spacelike curves. Finally conformally flat Willmore spacelike hypersurfaces are classified in terms of the hyperelastic spacelike curves in 2-dimensional Lorentzian space forms.

AB - In this paper, we give the equation satisfied by umbilics-free Willmore spacelike hypersurfaces using the conformal invariants in Lorentzian space forms. At the same time, we give the equation satisfied by hyperelastic spacelike curves in 2-dimensional Lorentzian space forms and classify the closed hyperelastic spacelike curves. Finally conformally flat Willmore spacelike hypersurfaces are classified in terms of the hyperelastic spacelike curves in 2-dimensional Lorentzian space forms.

KW - Conformal metric

KW - Elastic spacelike curve

KW - Willmore spacelike hypersurface

UR - https://www.scopus.com/pages/publications/85079412083

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DO - 10.3906/mat-1904-42

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Conformally flat Willmore spacelike hypersurfaces in R1n+1

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