CORDIS Project
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This project focuses on advancing mathematical research in Riemannian geometry and mean curvature flow. It aims to resolve significant problems related to scalar curvature metrics and the existence of minimal surfaces, which have implications in various fields including algebraic geometry.
The interplay between Geometry and Analysis has been among the most fruitful mathematical ideas in recent years, the most obvious example being Perelman's proof of Poincare' conjecture.
The goal of this proposal is to establish a research group that will make significant progress in the following two distinct problems.Scalar Curvature:
A classical theorem in Riemannian Geometry states that nonnegative scalar curvature metrics which are flat outside a compact set must be Euclidean.
The equivalen…
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