Cohomogeneity one manifolds with singly generated rational cohomology
Jason DeVito, Lee Kennard

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.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Topological and Geometric Data Analysis · Geometry and complex manifolds
