Variation formulas for transversally harmonic and bi-harmonic maps
Seoung Dal jung
TL;DR
This paper develops variation formulas for transversally harmonic and bi-harmonic maps, explores transversal Jacobi fields, and relates them to infinitesimal automorphisms, advancing understanding in geometric analysis.
Contribution
It introduces new variation formulas for transversally harmonic and bi-harmonic maps and examines their relation to transversal Jacobi fields and automorphisms.
Findings
Derived variation formulas for transversally harmonic maps
Analyzed properties of transversal Jacobi fields
Established relations with infinitesimal automorphisms
Abstract
In the paper, we study variation formulas for transversally harmonic maps and bi-harmonic maps, respectively. We also study the transversal Jacobi field along a map and give several relations with infinitesimal automorphisms.
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Taxonomy
TopicsNonlinear Waves and Solitons · Geometric Analysis and Curvature Flows · Advanced Differential Geometry Research