Some Classifications of Biharmonic Lorentzian Hypersurfaces in Minkowski 5-Space

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• 作者：Nurettin Cenk Turgay
• 关键词：Primary 53C40 ; Secondary 53C42 ; 53C50 ; Biharmonic submanifolds ; Lorentzian hypersurfaces ; Minimal submanifolds ; Finite type submanifolds
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：13
• 期：1
• 页码：401-412
• 全文大小：562 KB
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• 作者单位：Nurettin Cenk Turgay (1)
  
  1. Department of Mathematics, Faculty of Science and Letters, Istanbul Technical University, 34469, Maslak, Istanbul, Turkey
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1660-5454

文摘

In this paper, we study Lorentzian hypersurfaces in Minkowski 5-space with non-diagonalizable shape operator whose characteristic polynomial is (t − k ₁)2(t − k ₃)(t − k ₄) or (t − k ₁)3(t − k ₄). We prove that in these cases, a hypersurface is biharmonic if and only if it is minimal. Keywords Biharmonic submanifolds Lorentzian hypersurfaces Minimal submanifolds Finite type submanifolds