Abstract
Consider vector valued harmonic maps of at most linear growth, defined on a complete non-compact Riemannian manifold with non-negative Ricci curvature. For the square of the Jacobian of such maps, we report a strong maximum principle, and equalities among its supremum, its asymptotic average, and its large-time heat evolution.
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Both authors are partially supported by NSF Grant DMS-1510401.
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Huang, S., Wang, B. Rigidity of vector valued harmonic maps of linear growth. Geom Dedicata 202, 357–371 (2019). https://doi.org/10.1007/s10711-018-0418-2
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DOI: https://doi.org/10.1007/s10711-018-0418-2