Mathematisches Institut, Sidlerstrasse 5, CH-3012 Bern Philosophischnaturwissenschaftliche Fakultät Departement Mathematik und Statistik Mathematisches Institut Mathematical Colloquia ____________________________________________________________________________ Monday, 19 December 2016 17:15 h, Lecture Room B 78 Prof. Dr. Luca Rizzi, University of Grenoble Some topics in sub-Riemannian geometry Abstract: By imposing non-holonomic constraints on the possible directions of motion allowed on a Riemannian manifold, we obtain a peculiar class of geometrical structures, which is the subject of sub-Riemannian geometry. In this talk, we will provide a gentle introduction to this rapidly expanding field. We will in particular discuss some selected topics, where the differences with respect to the classical Riemannian world are more striking. The following subjects will be covered I. geodesics, II. balls, III. dimension and IV. curvature. Sekretariat, Mathematisches Institut, Sidlerstrasse 5, CH-3012 Bern, Tel. +41 (0)31 631 88 21, Fax +41 (0)31 631 85 10 [email protected], www.math.unibe.ch
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