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Trends in Harmonic Analysis pp 147–205Cite as

Sub-Finsler Geometry and Finite Propagation Speed

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Part of the book series: Springer INdAM Series ((SINDAMS,volume 3))

Abstract

We prove a number of results on the geometry associated to the solutions of 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.

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Notes

  1. 1.

    We consider all vector fields to be smooth.

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Acknowledgements

This research was supported under the Australian Research Council’s Discovery Projects funding scheme (project number DP-110102488).

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Authors and Affiliations

  1. School of Mathematics and Statistics, University of New South Wales, UNSW, Sydney, NSW, 2052, Australia

    Michael G. Cowling & Alessio Martini

Authors
  1. Michael G. Cowling
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  2. Alessio Martini
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Correspondence to Michael G. Cowling .

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Editors and Affiliations

  1. Dipto. Matematica, Università di Roma - Tor Vergata, Via della Ricerca Scientifica 1, Roma, 00133, Italy

    Massimo A. Picardello

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Cowling, M.G., Martini, A. (2013). Sub-Finsler Geometry and Finite Propagation Speed. In: Picardello, M. (eds) Trends in Harmonic Analysis. Springer INdAM Series, vol 3. Springer, Milano. https://doi.org/10.1007/978-88-470-2853-1_8

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