CORDIS Project
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This project investigates metric invariants of Riemannian and contact manifolds, focusing on systoles and diastoles. It aims to relate these invariants to the volumes of spaces and explore connections with quantum error correction codes to enhance understanding of geometric properties.
The project is devoted to two classes of metric invariants of Riemannian and contact manifolds: systoles and diastoles.
Riemannian systoles are shortest non-contractible curves (and higher-dimensional cycles) on manifolds and other spaces.
Diastoles measure longest curves in an optimal slicing of a manifold into a family of curves (or cycles).
Symplectic/contact systoles measure the least action on closed characteristics (integral curves of the Reeb flow).
The goals of the project are to extend…
UNIVERSITE DU LUXEMBOURG
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Germany, Berlin
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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