Sub-Riemannian geometry and Lie groups. Part I

Mathematics – Metric Geometry

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Seminar Notes, DMA-EPFL, 2001. Section 4.8 extended. Errors in section 4.6 corrected

Scientific paper

These 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.

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