Cohomogeneity one manifolds with positive euler characteristic

TL;DR

This paper classifies cohomogeneity one manifolds with positive Euler characteristic under the action of classical simple Lie groups, providing a comprehensive understanding of their structure and symmetry properties.

Contribution

It offers a complete classification of such manifolds, advancing the understanding of symmetry actions on manifolds with positive Euler characteristic.

Findings

Classification of cohomogeneity one manifolds with positive Euler characteristic

Identification of classical simple Lie group actions on these manifolds

Structural insights into manifolds with specified symmetry properties

Abstract

We classify those manifolds of positive euler characteristic on which a lie group G acts with cohomogeneity one, where G is classical simple