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arxiv: 1205.3557 · v1 · pith:4SVC74JDnew · submitted 2012-05-16 · 🧮 math.DG

Variation formulas for transversally harmonic and bi-harmonic maps

classification 🧮 math.DG
keywords mapsbi-harmonicformulasharmonictransversallyvariationalongautomorphisms
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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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