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Sub-Finsler geometry and finite propagation speed
- Publication Year :
- 2012
-
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.<br />Comment: 45 pages
- Subjects :
- Mathematics - Analysis of PDEs
Mathematics - Metric Geometry
58J45
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1205.4087
- Document Type :
- Working Paper