| 独 力,刘建成.Lorentz空间型中正常2-调和超曲面的分类[J].数学年刊A辑,2018,39(1):63~76 |
| Lorentz空间型中正常2-调和超曲面的分类 |
| Classification of Proper Biharmonic Hypersurfaces in Lorentz Space Forms |
| Received:May 12, 2015 Revised:October 06, 2016 |
| DOI：10.16205/j.cnki.cama.2018.0007 |
| 中文关键词: Lorentz空间型, 正常2{-}调和超曲面, 极小多项式, 广义脐超曲面 |
| 英文关键词:Lorentz space forms, Proper biharmonic hypersurfaces, Minimal polynomial, Generalized umbilical hypersurfaces |
| 基金项目:本文受到国家自然基金(No.11261051, No.11761061), 定西师范高等专科学校青年人才资助计划(No.2102-2017)
和定西师范高等专科学校重点项目(No.TD2016ZD08)的资助. |
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| 中文摘要: |
| 本文对Lorentz空间型中的正常2{-}调和超曲面进行了完全分类,
它的形状算子的极小多项式的阶数至多是2. |
| 英文摘要: |
| In this paper, the authors classify completely proper biharmonic hypersurfaces
with the minimal polynomial of the shape operator being at most of degree two
in Lorentz space forms. |
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