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arxiv: 1109.3932 · v1 · pith:3EYI2ELWnew · submitted 2011-09-19 · 🧮 math.DG

On transversally harmonic maps of foliated Riemannian manifolds

classification 🧮 math.DG
keywords transversallyharmonicfoliatedmanifoldsmapsriemannianconditionscurvature
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We study the transversally harmonic maps between foliated Riemannian manifolds. In particular, we prove that under some curvature conditions, any transversally harmonic map is transversally totally geodesic.

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