CALDERBANK, David M. J., Jan SLOVÁK a Vladimír SOUČEK. Subriemannian Metrics and the Metrizability of Parabolic Geometries. The Journal of Geometric Analysis. New York: Springer, 2021, roč. 31, č. 2, s. 1671-1702. ISSN 1050-6926. Dostupné z: 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 a Vladimír SOUČEK. Subriemannian Metrics and the Metrizability of Parabolic Geometries. \textit{The Journal of Geometric Analysis}. New York: Springer, 2021, roč.~31, č.~2, s.~1671-1702. ISSN~1050-6926. Dostupné z: https://dx.doi.org/10.1007/s12220-019-00320-1.
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