Sub-Riemannian geometry and Lie groups. Part I

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65268These pages covers my expository talks during the seminar "Sub-Riemannian geometry and Lie groups" organised by the author and Tudor Ratiu at the Mathematics Department, EPFL, 2001. However, this is the first part of three, in preparation, dedicated to this subject. It covers, with mild modifications, an elementary introduction to the field.Seminar Notes, DMA-EPFL, 2001. Section 4.8 extended. Errors in section 4.6 correctedMetric GeometrySymplectic Geometry53C17, 53D05Sub-Riemannian geometry and Lie groups. Part Itext