Cohomogeneity one quaternionic Kähler manifolds

Abstract: The study of quaternionic Kähler geometry has long been hampered by a lack of examples. However, a construction known as the c-map has recently made it possible to construct many complete examples of negative scalar curvature. Moreover, the quaternionic Kähler manifolds that arise from the c-map admit a one-parameter deformation through complete quaternionic Kähler manifolds. In this talk, I will describe the (deformed) c-map in detail and show how to use it to construct interesting cohomogeneity one quaternionic Kähler manifolds, focusing on a series of examples which arise as deformations of quaternionic Kähler symmetric spaces. This is joint work with Vicente Cortés, Markus Röser, and Arpan Saha.

differential geometrygeometric topologymetric geometry

Audience: researchers in the topic

( video )

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Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.

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