Session S23 - Group actions in Differential Geometry

Wednesday, July 14, 14:00 ~ 14:30 UTC-3

Infinitesimal maximal symmetry for some solvmanifolds

Michael Jablonski

University of Oklahoma, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Recently, it was shown that Einstein metrics on solvmanifolds enjoy the special property that their isometry groups are the largest possible isometry groups on those homogeneous spaces. While the same result cannot hold for Ricci solitons, one can show that these special metrics do have the largest possible isometry algebra. We will discuss this result and the question of maximal symmetry for solvmanifolds more generally.

Joint work with Carolyn Gordon (Dartmouth College).

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