Riemannian geodesic orbit manifolds: An overview and some recent results

Abstract: A homogeneous Riemannian manifold is called geodesic orbit if all geodesics are orbits of one-parameter groups of isometries, or equivalently, integral curves of Killing vector fields. Well-known examples include symmetric, weakly symmetric and naturally reductive manifolds, yet a complete classification of geodesic orbit manifolds remains open. In this talk, we firstly review basic aspects of the study of geodesic orbit manifolds. Further, we focus on compact Lie groups, and we discuss recent results on Einstein Lie groups that are not geodesic orbit manifolds.

differential geometry

Audience: researchers in the topic

( paper | 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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