English

Sub-Finsler geometry and finite propagation speed

Analysis of PDEs 2012-05-21 v1 Metric Geometry

Abstract

We prove a number of results on the geometry associated to the solutions of evolution equations given by first-order differential operators on manifolds. In particular, we consider distance functions associated to a first-order operator, and discuss the associated geometry, which is sometimes surprisingly different to riemannian geometry.

Keywords

Cite

@article{arxiv.1205.4087,
  title  = {Sub-Finsler geometry and finite propagation speed},
  author = {Michael G. Cowling and Alessio Martini},
  journal= {arXiv preprint arXiv:1205.4087},
  year   = {2012}
}

Comments

45 pages