Canonical Submersions and 3-$(\alpha, \delta)$-Sasaki geometry*

Abstract: We introduce the classical results of de Rham and Berger on the holonomy of a Riemannian manifold. We compare these to the situation of parallel skew-torsion, where we obtain Riemannian submersions from reducible holonomy. If time permits I will give an introduction to 3-$(\alpha, \delta)$-Sasaki manifolds and their submersion onto quaternionic Kähler manifolds. *if time permits

algebraic geometrydifferential geometrysymplectic geometry

Audience: researchers in the topic

Geometria em Lisboa (IST)

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