English

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

Differential Geometry 2007-05-23 v1 Complex Variables

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.

Keywords

Cite

@article{arxiv.math/0312144,
  title  = {Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces},
  author = {Juergen Jost and Yihu Yang},
  journal= {arXiv preprint arXiv:math/0312144},
  year   = {2007}
}