Finsler metrics with constant positive flag curvature and holonomy

speaker: Robert Bryant (Duke University)

abstract: In this talk, I will describe a couple of cases in which Finsler geometry leads to connections with special holonomy. In particular, I will describe how a Finsler metric with constant positive flag curvature induces a canonical Kahler metric on its space of geodesics and how certain such Finsler metrics determine (and are determined by) spaces carrying a torsion-free connection whose holonomy is 'exotic' in the sense that it is not on the lists of the currently accepted groups that can be holonomy of torsion-free connections.

timetable:
Tue 22 May, 9:10 - 10:00, Aula Dini
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