Geodesic
Isometries of Sub-Riemannian Metrics Supported on Martinet Type Distributions
Journal of Lie theory, Tome 28 (2018) no. 3, pp. 767-78
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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.
Classification : 53B30, 53A55, 34C14
Mots-clés : Sub-Riemannian, Martinet distribution, symmetry 
@article{JLT_2018_28_3_JLT_2018_28_3_a9,
     author = {M. Grochowski and B. Warhurst},
     title = {Isometries of {Sub-Riemannian} {Metrics} {Supported} on {Martinet} {Type} {Distributions}},
     journal = {Journal of Lie theory},
     pages = {767--78},
     year = {2018},
     volume = {28},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2018_28_3_JLT_2018_28_3_a9/}
}
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M. Grochowski; B. Warhurst. Isometries of Sub-Riemannian Metrics Supported on Martinet Type Distributions. Journal of Lie theory, Tome 28 (2018) no. 3, pp. 767-78. http://geodesic.mathdoc.fr/item/JLT_2018_28_3_JLT_2018_28_3_a9/