Event
Eveline Legendre, Université Paul Sabatier
Friday, December 15, 2017 11:00to12:00
Room PK-5115 , Pavillon President-Kennedy, CA
An application of the equivariant localization formula in Sasaki geometry.
We apply an extension of the Duistermaat--Heckman Theorem to study the volume, the total scalar curvature and the Einstein-Hilbert functionals defined on the Reeb cone of a Sasaki manifold and prove that they are all proper. This implies that there exists a Reeb vector field with (transversal) Futaki invariant in any the Reeb cone.