Isoparametric hypersurfaces in product spaces

IF 0.6 4区数学 Q3 MATHEMATICS Differential Geometry and its Applications Pub Date : 2023-06-01 DOI:10.1016/j.difgeo.2023.102005

João Batista Marques dos Santos , João Paulo dos Santos

引用次数: 3

Abstract

In this paper, we characterize and classify the isoparametric hypersurfaces with constant principal curvatures in the product spaces $Q_{c_{1}}^{2} \times Q_{c_{2}}^{2}$ , where $Q_{c_{i}}^{2}$ is a space form with constant sectional curvature $c_{i}$ , for $c_{i} \in {- 1, 0, 1}$ and $c_{1} \neq c_{2}$ .

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乘积空间中的等参超曲面

本文对积空间Qc12×Qc22中具有常主曲率的等参超曲面进行了刻画和分类，其中对于ci∈{−1,0,1}且c1≠c2, Qci2是具有常截面曲率的空间形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.

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