𝕊m×ℝ与ℍm×ℝ中的λ-双调和超曲面
λ-Biharmonic Hypersurfaces in Product Spaces 𝕊m×ℝ and ℍm×ℝ
DOI: 10.12677/PM.2023.1312362, PDF, 下载: 53  浏览: 74  国家自然科学基金支持
作者: 赵珍, 杨超#：西北师范大学 数学与统计学院，甘肃 兰州
关键词: λ-双调和超曲面；乘积空间；旋转超曲面；半平行超曲面；λ-Biharmonic Hypersurfaces； Product Space； Rotation Hypersurfaces； Semi-Parallel Hhypersurfaces
摘要: 本文主要研究乘积空间𝕊m×ℝ与ℍm×ℝ中的λ-双调和超曲面，给出超曲面是λ-双调和的等价方程，并对半平行λ-双调和超曲面进行分类。
Abstract: In this paper,we study λ-biharmonic hypersurfaces in product spaces 𝕊m×ℝ and ℍm×ℝ, give the equivalent equation and classify semi-parallel λ-biharmonic hypersurfaces.
文章引用：赵珍, 杨超. 𝕊m×ℝ与ℍm×ℝ中的λ-双调和超曲面[J]. 理论数学, 2023, 13(12): 3481-3489. https://doi.org/10.12677/PM.2023.1312362

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