CORDIS Project
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This project investigates isoperimetric inequalities in various geometric spaces, focusing on minimizing surface areas when partitioning regions of fixed volume. It aims to address unresolved problems in spaces like projective spaces and the flat torus, utilizing new mathematical tools to advance understanding in diffe…
Isoperimetric inequalities constitute some of the most beautiful and ancient results in geometry, and play a key role in numerous facets of differential geometry, analysis, calculus of variations, geometric measure theory, minimal surfaces, probability and more.Isoperimetric minimizers have classically been determined on Euclidean, spherical, hyperbolic and Gaussian spaces.
The isoperimetric problem is well-understood on surfaces, but besides some minor variations on these examples and some thre…
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