und via zoom (moodle)
Abstract:
I will review the basics of sub-Lorentzian geometry with a particular focus on abnormal extremals arising from Pontryagin’s Maximum Principle. I will explain how these appear quite naturally in the Lorentzian setting, even in Minkowski spaces. Then we will study the Martinet distribution in more detail, the first example of a sub-Lorentzian manifold in which abnormal curves play an especially significant role.