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

Juergen Jost·Yihu Yang
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Abstract

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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Juergen Jost, Yihu Yang. 2003-12-07. Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces. https://arxiv.org/abs/math/0312144

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