Construction of harmonic maps between cohomogeneity one manifolds
Anna Siffert
TL;DR
This paper develops a method to construct harmonic maps that are equivariant between cohomogeneity one manifolds, expanding the understanding of harmonic map theory in symmetric geometric contexts.
Contribution
It introduces a novel construction technique for equivariant harmonic maps specifically tailored for cohomogeneity one manifolds.
Findings
Successful construction of equivariant harmonic maps between specific cohomogeneity one manifolds
Extension of harmonic map theory to symmetric geometric settings
Potential applications in geometric analysis and symmetry studies
Abstract
We construct equivariant harmonic maps between cohomogeneity one manifolds.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology