Diffeomorphism type of 6-dimensional cohomogeneity one manifolds
Corey A. Hoelscher
TL;DR
This paper provides a complete classification of 6-dimensional compact simply connected cohomogeneity one manifolds up to diffeomorphism, advancing understanding of their geometric structure.
Contribution
It offers the first full diffeomorphism classification of these manifolds, filling a gap in the geometric topology of high-dimensional manifolds.
Findings
Complete diffeomorphism classification achieved
Identification of key topological invariants
Clarification of manifold structures in dimension six
Abstract
In this paper we give a full diffeomorphism characterization of compact simply connected cohomogeneity one manifolds in dimension six.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Mathematical Dynamics and Fractals · Geometric and Algebraic Topology