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CR-Yamabe problem, Kähler metrics and K-stability

Objective

One of the main questions in Differential Geometry is the existence of special metrics, that is, a way to measure distances, on smooth manifolds. They are the basic objects in Differential Geometry, and can be thought of as geometric objects that can be locally approximated by the usual flat space. The goal of CRYamKmetKstab is to investigate the existence of these special metrics on complex manifolds from the point of view of Complex Differential Geometry, by employing techniques that come from Differential Geometry, Algebraic Geometry and Geometric Analysis. More precisely, we propose a novel way to approach constant scalar curvature Kähler metrics by drawing a connection between the so-called CR-Yamabe problem and K-stability of the manifold.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships

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Call for proposal

(opens in new window) HORIZON-MSCA-2023-PF-01

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Coordinator

UNIVERSITE LYON 1 CLAUDE BERNARD
Net EU contribution
€ 202 118,88
Address
BOULEVARD DU 11 NOVEMBRE 1918 NUM43
69622 Villeurbanne Cedex
France
Region
Auvergne-Rhône-Alpes Rhône-Alpes Rhône
Activity type
Higher or Secondary Education Establishments
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Total cost
No data