Symmetries of closed G2-structures

Abstract: In this talk I will consider 7-manifolds endowed with a closed G2-structure and having a large symmetry group. In the compact case, I will discuss the properties of the full automorphism group of a closed G2-structure, showing how they impose strong constraints on the construction of homogeneous and cohomogeneity one examples. In the non-compact case, I will first give a brief overview of known examples and then I will describe the classification of 7-manifolds with a closed G2-structure that are homogeneous under the action of a reductive Lie group. This is joint work with F. Podestà

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.

The seminar meets every other Wednesday. To accommodate most time zones, the time rotates. The Zoom link is sent to the mailing list around 24 hours before each talk. To subscribe to the mailing list, send a message to geometrywithsymmetries@gmail.com requiring it.

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