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arxiv: math/0312144 · v1 · submitted 2003-12-07 · 🧮 math.DG · math.CV

Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces

classification 🧮 math.DG math.CV
keywords horizontalharmonicmanifoldcarnot-caratheodorychowclassconditioncurved
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We deform a map into a Riemannian manifold that is horizontal with respect to a submersion onto a non-positively curved manifold and satisfies a Chow condition into a harmonic one through a horizontal homotopy.

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