CORDIS Project
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This project investigates geometric analysis, focusing on the existence of specific metrics on complex algebraic manifolds and developing new mathematical structures for higher-dimensional manifolds. It aims to advance understanding of nonlinear partial differential equations and their implications in theoretical physi…
The proposal is for work in Geometric Analysis aimed at two different problems.
One is to establish necessary and sufficient conditions for the existence of extremal metrics on complex algebraic manifolds.
These metrics are characterised by conditions on their curvature tensor a paradigm being the Riemannian version of the Einstein equation of General Relativity The standard conjecture is that the right condition should be the stability of the manifold, a condition defined entirely in the langua…
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