Ricci-kaarevuuden alarajat metrisissä av
Main funder
Funder's project number: 284511
Funds granted by main funder (€)
- 209 998,00
Funding program
Project timetable
Project start date: 01/09/2014
Project end date: 31/08/2017
Summary
The project is in the area of pure mathematics. More precisely, it is in the areas of differential geometry, geometric function theory and geometric measure theory. Aim of the project is to investigate the local and global properties of metric measure spaces with Ricci curvature lower bounds as introduced by Lott, Sturm and Villani. The project also studies the more strict definition of Riemannian Ricci curvature lower bounds by Ambrosio, Gigli and Savaré. The curvature bounds are based on optimal mass transportation. The study of these abstract notions of curvature bounds will also increase our knowledge on Riemannian manifolds with Ricci curvature bounded below, as well as their Gromov-Hausdorff limits.
Principal Investigator
Primary responsible unit
Fields of science
Related publications and other outputs
- Multi-marginal entropy-transport with repulsive cost (2020) Gerolin, Augusto; et al.; A1; OA
- Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces (2019) Gerolin, Augusto; et al.; A1; OA
- Nonexistence of Optimal Transport Maps for the Multimarginal Repulsive Harmonic Cost (2019) Gerolin, Augusto; et al.; A1; OA
