Cohomogeneity one manifolds with singly generated rational cohomology

TL;DR

This paper classifies certain highly symmetric manifolds with specific rational cohomology properties and positive Euler characteristic, expanding understanding of their structure and classification.

Contribution

It provides a classification of simply connected, closed cohomogeneity one manifolds with singly generated or 4-periodic rational cohomology and positive Euler characteristic.

Findings

Complete classification of the specified manifolds.

Identification of their cohomology and symmetry properties.

Insights into the topology of manifolds with these characteristics.

Abstract

We classify simply connected, closed cohomogeneity one manifolds with singly generated or 4-periodic rational cohomology and positive Euler characteristic.