| CALDERBANK, David M. J., Jan SLOVÁK and Vladimír SOUČEK. Subriemannian Metrics and the Metrizability of Parabolic Geometries. The Journal of Geometric Analysis. New York: Springer, 2021, vol. 31, No 2, p. 1671-1702. ISSN 1050-6926. Available from: https://dx.doi.org/10.1007/s12220-019-00320-1. |
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@article{1645757,
author = {Calderbank, David M. J. and Slovák, Jan and Souček, Vladimír},
article_location = {New York},
article_number = {2},
doi = {http://dx.doi.org/10.1007/s12220-019-00320-1},
keywords = {Bernstein-Gelfand-Gelfand resolution; Cartan geome;try; Overdetermined linear; Weyl connections PDE; Parabolic geometry; Projective metrizability; Subriemannian metrizability;},
language = {eng},
issn = {1050-6926},
journal = {The Journal of Geometric Analysis},
title = {Subriemannian Metrics and the Metrizability of Parabolic Geometries},
url = {https://link.springer.com/article/10.1007%2Fs12220-019-00320-1},
volume = {31},
year = {2021}
}
TY - JOUR
ID - 1645757
AU - Calderbank, David M. J. - Slovák, Jan - Souček, Vladimír
PY - 2021
TI - Subriemannian Metrics and the Metrizability of Parabolic Geometries
JF - The Journal of Geometric Analysis
VL - 31
IS - 2
SP - 1671-1702
EP - 1671-1702
PB - Springer
SN - 10506926
KW - Bernstein-Gelfand-Gelfand resolution
KW - Cartan geome;try
KW - Overdetermined linear
KW - Weyl connections PDE
KW - Parabolic geometry
KW - Projective metrizability
KW - Subriemannian metrizability;
UR - https://link.springer.com/article/10.1007%2Fs12220-019-00320-1
L2 - https://link.springer.com/article/10.1007%2Fs12220-019-00320-1
N2 - 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.
ER -
CALDERBANK, David M. J., Jan SLOVÁK and Vladimír SOUČEK. Subriemannian Metrics and the Metrizability of Parabolic Geometries. \textit{The Journal of Geometric Analysis}. New York: Springer, 2021, vol.~31, No~2, p.~1671-1702. ISSN~1050-6926. Available from: https://dx.doi.org/10.1007/s12220-019-00320-1.
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