Classification of conformally flat Moebius isoparametric submanifolds in the Euclidean space

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2024-11-12 DOI:10.1016/j.difgeo.2024.102201

M.S.R. Antas

引用次数: 0

Abstract

The aim of this article is to classify umbilic-free isometric immersions

f : M^{n} \to R^{m}

n \geq 4

, of a conformally flat manifold which are Moebius isoparametric.

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欧几里得空间中保形平莫比乌斯等参数子平面的分类

本文旨在对莫比乌斯等参数的保角平坦流形的无脐等距沉浸 f:Mn→Rm, n≥4 进行分类。

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.