Abstract
We present the linearized metrizability problem in the context of parabolic geometries and subriemannian geometry, generalizing the metrizability problem in projective geometry studied by R. Liouville in 1889. We give a general method for linearizability and a classification of all cases with irreducible defining distribution where this method applies. These tools lead to natural subriemannian metrics on generic distributions of interest in geometric control theory.
Original language | English |
---|---|
Journal | Journal of Geometric Analysis |
Early online date | 16 Nov 2019 |
DOIs | |
Publication status | E-pub ahead of print - 16 Nov 2019 |
Keywords
- math.DG
- 53B15, 53C17, 14M15, 17B10, 22E46, 53C15, 53C30, 58A32, 58J70, 93C10
Fingerprint Dive into the research topics of 'Subriemannian metrics and the metrizability of parabolic geometries'. Together they form a unique fingerprint.
Profiles
-
David Calderbank
- Department of Mathematical Sciences - Professor
- EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
Person: Research & Teaching