From isoparametric submanifolds to polar foliations

被引：2

作者：

Thorbergsson, Gudlaugur ^{[1
]}

机构：

[1] Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany

来源：

SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2022年 / 16卷 / 01期

关键词：

Isoparametric submanifolds; Polar actions; Polar foliations; PRINCIPAL CURVATURES; GEOMETRY; HYPERSURFACES; HYPERPOLAR;

D O I：

10.1007/s40863-022-00291-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We will show how isoparametric submanifolds and polar actions on round spheres lead to polar foliations and polar actions on compact symmetric spaces and compact Riemannian manifolds with positive curvature. Our emphasis will be on the classification of these submanifolds and actions.

引用

页码：459 / 472

页数：14

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