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Nonexistence of the quasi-harmonic spheres and harmonic spheres into certain manifold - MaRDI portal

Nonexistence of the quasi-harmonic spheres and harmonic spheres into certain manifold (Q2157576)

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Nonexistence of the quasi-harmonic spheres and harmonic spheres into certain manifold
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    Nonexistence of the quasi-harmonic spheres and harmonic spheres into certain manifold (English)
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    22 July 2022
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    The authors prove the nonexistence of nonconstant harmonic and quasi-harmonic maps -- defined as critical points of some weighted energy functionals -- into sheres of any dimension which omit a neighbourhood of a totally geodesic submanifold of codimension 2.
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    nonexistence of harmonic spheres
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    nonexistence of quasi-harmonic spheres
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    warped product structure
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