Classification of hypersurfaces with constant Laguerre eigenvalues in ℝn

Tong Zhu Li, Hai Zhong Li, Chang Ping Wang

科研成果: 期刊稿件文章同行评审

13 引用 (Scopus)

摘要

Let x: M → ℝn be an umbilical free hypersurface with non-zero principal curvatures. Then x is associated with a Laguerre metric g, a Laguerre tensor L, a Laguerre form C, and a Laguerre second fundamental form B, which are invariants of x under Laguerre transformation group. An eigenvalue of Laguerre tensor L of x is called a Laguerre eigenvalue of x. In this paper, we classify all oriented hypersurfaces with constant Laguerre eigenvalues and vanishing Laguerre form.

源语言英语
页(从-至)1129-1144
页数16
期刊Science China Mathematics
54
6
DOI
出版状态已出版 - 5月 2011

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Li, T. Z., Li, H. Z., & Wang, C. P. (2011). Classification of hypersurfaces with constant Laguerre eigenvalues in ℝn. Science China Mathematics, 54(6), 1129-1144. https://doi.org/10.1007/s11425-011-4170-4