In my talk I will discuss 3 -dimensional sub-Riemannian manifolds (M, H, g), where the distribution H is of Martinet type. I will focus on describing the isometry group of such manifolds. The talk is based on the paper [1].
[1] M. Grochowski, B. Warhurst, Isometries of sub-Riemannian metrics supported on Martinet type distributions, Journal of Lie Theory 28 (2018), No. 3, 767—780.