Cohomogeneity one actions on unit spheres
Ming Xu

TL;DR
This paper classifies all isometric cohomogeneity one actions on unit spheres and extends the classification to certain Riemannian symmetric spaces, providing a comprehensive understanding of these symmetries.
Contribution
It offers a complete classification of cohomogeneity one actions on spheres and applies this to classify actions on complex and quaternionic projective spaces.
Findings
Complete classification of cohomogeneity one actions on spheres
Classification of actions on complex projective spaces
Classification of actions on quaternionic projective spaces
Abstract
In this paper, we provide a complete classification for all the isometric cohomogeneity one actions on unit spheres. Using this theory, we can very easily classify all the isometric cohomogeneity one actions on the Riemannian symmetric spaces and .
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology · Geometry and complex manifolds
