Journal of Lie Theory

no. 3
Isometries of Sub-Riemannian Metrics Supported on Martinet Type Distributions
Marek Grochowski1; Ben Warhurst2
1Faculty of Mathematics and Natural Sciences, Cardinal Wyszynski University, ul. Dewajtis 5, 00-956 Warszawa, Poland
2Institute of Mathematics, University of Warsaw, ul.Banacha 2, 02-097 Warsaw, Poland
Journal of Lie Theory, Volume 28 (2018) no. 3, pp. 767-780
We study 3-dimensional sub-Riemannian manifolds (M,H,g), where the distribution H is of Martinet type. Our main concern is to describe the isometries of such manifolds, and to estimate the dimension of the isometry group.
DOI: 10.5802/jolt.1025
Classification: 53B30, 53A55, 34C14
Keywords: Sub-Riemannian, Martinet distribution, symmetry

Marek Grochowski  1 ; Ben Warhurst  2

1 Faculty of Mathematics and Natural Sciences, Cardinal Wyszynski University, ul. Dewajtis 5, 00-956 Warszawa, Poland
2 Institute of Mathematics, University of Warsaw, ul.Banacha 2, 02-097 Warsaw, Poland 
Marek Grochowski; Ben Warhurst. Isometries of Sub-Riemannian Metrics Supported on Martinet Type Distributions. Journal of Lie Theory, Volume 28 (2018) no. 3, pp. 767-780. doi: 10.5802/jolt.1025
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     author = {Marek Grochowski and Ben Warhurst},
     title = {Isometries of {Sub-Riemannian} {Metrics} {Supported} on {Martinet} {Type} {Distributions}},
     journal = {Journal of Lie Theory},
     pages = {767--780},
     year = {2018},
     volume = {28},
     number = {3},
     doi = {10.5802/jolt.1025},
     zbl = {1404.53043},
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}
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