Locally conformally Berwald manifolds and compact quotients of reducible manifolds by homotheties

speaker: Yuri A. Nikolayevsky (La Trobe University, Melbourne)

abstract: Our aim is to understand the structure of locally conformally Berwald metrics on closed manifolds which are not globally conformally Berwald. We first show, using the Binet-Legendre metric, that the characterisation of such metrics is equivalent to characterising incomplete, simply-connected, Riemannian manifolds with reducible holonomy group whose quotient by a group of homotheties is closed. We then prove a de Rham type splitting theorem which states that such a manifold is a cylinder over an incomplete non-flat manifold.

This is a joint work with by Vladimir Matveev.

timetable:
Mon 21 May, 14:10 - 15:00, Aula Dini
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