For φ-replete calibrated manifolds, Rφ- and Kφ-hyperbolicity coincide and imply equicontinuity of Smith immersions, giving a Montel theorem for compact cases.
Liouville’s theorem in calibrated geometries
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Montel's theorem and tautness in calibrated geometry
For φ-replete calibrated manifolds, Rφ- and Kφ-hyperbolicity coincide and imply equicontinuity of Smith immersions, giving a Montel theorem for compact cases.