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Journal of Lie Theory 28 (2018), No. 3, 767--780
Copyright Heldermann Verlag 2018

Isometries of Sub-Riemannian Metrics Supported on Martinet Type Distributions

Marek Grochowski
Faculty of Mathematics and Natural Sciences, Cardinal Wyszynski University, ul. Dewajtis 5, 00-956 Warszawa, Poland

Ben Warhurst
Institute of Mathematics, University of Warsaw, ul.Banacha 2, 02-097 Warsaw, Poland

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.

Keywords: Sub-Riemannian, Martinet distribution, symmetry.

MSC: 53B30, 53A55, 34C14

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