On equifocal submanifolds with non-flat section in symmetric spaces of rank two

Abstract

In this paper, we show that there exists no equifocal submanifold with non-flat section in four irreducible simply connected symmetric spaces of compact type and rank two. Also, we show a fact for the sections of equifocal submanifolds with non-flat section in other irreducible simply connected symmetric spaces of compact type and rank two.

In this paper, we found important misses

References in corpus (3)

• Isoparametric submanifolds and a Chevalley-type restriction theorem
• Reconstructing the geometric structure of a Riemannian symmetric space from its Satake diagram
• Singular riemannian foliations with sections, transnormal maps and basic forms