论文标题
等级一个对称空间中的同质和无与伦比的等异波超曲面
Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces
论文作者
论文摘要
我们通过对Quaternionic双曲线空间对轨道等效性的同一均匀性进行分类，结论一下共同体对等级对称空间对称空间的分类。作为我们证明的副产品，我们无效地生成了许多偶然的异位型的典型示例。
We conclude the classification of cohomogeneity one actions on symmetric spaces of rank one by classifying cohomogeneity one actions on quaternionic hyperbolic spaces up to orbit equivalence. As a by-product of our proof, we produce uncountably many examples of inhomogeneous isoparametric families of hypersurfaces with constant principal curvatures in quaternionic hyperbolic spaces.
