The Hilbert--Einstein functional and the Sasaki-Futaki invariant
Location: MSRI: Simons Auditorium
algebraic geometry and GAGA
complex differential geometry
vector fields on complex manifolds
I will show how the Hilbert--Einstein functional detects the
Reeb vector fields having a vanishing transversal Futaki
invariant and so that it is an obstruction to the existence
of constant scalar curvature Sasaki metrics. I will also discuss
the relation of this functional with the sasakian
K-stability defined by Collins--Szekelyhidi
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