The Hilbert–Einstein Functional and the Sasaki–Futaki Invariant

Name: The Hilbert–Einstein Functional and the Sasaki–Futaki Invariant
Uploaded: 2019-05-08T07:00:01.000Z
Duration: 58 min 57 s
Channel: Eveline Legendre
Description: Eveline Legendre explores the Hilbert–Einstein functional's role in detecting Reeb vector fields with vanishing transversal Futaki invariant, an obstruction to…

Eveline Legendre

Université de Toulouse III (Paul Sabatier)·Eveline Legendre

58:57

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The Hilbert–Einstein Functional and the Sasaki–Futaki Invariant

Eveline Legendre Université de Toulouse III (Paul Sabatier)

58:57·2019·research·Research Seminar

Eveline Legendre explores the Hilbert–Einstein functional's role in detecting Reeb vector fields with vanishing transversal Futaki invariant, an obstruction to constant scalar curvature Sasaki metrics.

Abstract: 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.

Mathematics Philosophy Topology & Geometry Differential & Riemannian Geometry Complex Geometry Sasaki Metrics Kähler Geometry

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Eveline Legendre

Speaker at Université de Toulouse III (Paul Sabatier)

Eveline Legendre is a mathematician at Université de Toulouse III, specializing in differential geometry and its applications to mathematical physics.

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