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Quantitative Obata's Theorem

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Updated at: 01-10-2024

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Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds

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Updated at: 01-10-2024

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Periodic Reporting for period 4 - CURVATURE (Optimal transport techniques in the geometric analysis of spaces with curva...

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Updated at: 03-08-2024

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New formulas for the Laplacian of distance functions and applications

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Updated at: 27-04-2024

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Improved regularity estimates for Lagrangian flows on RCD(K,N) spaces

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Updated at: 27-04-2024

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Project acronym CURVATURE

Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity

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Updated at: 27-04-2024

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Boundary regularity and stability for spaces with Ricci bounded below

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Updated at: 27-04-2024

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Project acronym CURVATURE

A Talenti-type comparison theorem for $${{\,\mathrm{RCD}\,}}(K,N)$$ spaces and applications

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Updated at: 27-04-2024

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Project acronym CURVATURE

Polya-Szego inequality and Dirichlet p-spectral gap for non-smooth spaces with Ricci curvature bounded below

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Updated at: 27-04-2024

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Sharp Cheeger–Buser Type Inequalities in $$ \mathsf {RCD}(K,\infty )$$ Spaces

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Updated at: 27-04-2024

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Project acronym CURVATURE

Existence and Regularity of Spheres Minimising the Canham–Helfrich Energy

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Updated at: 27-04-2024

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Project acronym CURVATURE

A reverse Hölder inequality for first eigenfunctions of the Dirichlet Laplacian on RCD(,) spaces

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Updated at: 27-04-2024

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Project acronym CURVATURE

Leaves decompositions in Euclidean spaces

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Updated at: 27-04-2024

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Project acronym CURVATURE

An upper bound on the revised first Betti number and a torus stability result for RCD spaces

Project: CURVATURE

Updated at: 27-04-2024

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Project acronym CURVATURE

Improved regularity estimates for Lagrangian flows on RCD(K,N) spaces

Project: CURVATURE

Updated at: 27-04-2024

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Project acronym CURVATURE

The equality case in Cheeger's and Buser's inequalities on RCD spaces

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Updated at: 27-04-2024

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Project acronym CURVATURE

A strict inequality for the minimization of the Willmore functional under isoperimetric constraint

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Updated at: 27-04-2024

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Project acronym CURVATURE

Matrix Hölder's Inequality and Divergence Formulation of Optimal Transport of Vector Measures

Project: CURVATURE

Updated at: 27-04-2024

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Project acronym CURVATURE

An upper bound on the revised first Betti number and a torus stability result for RCD spaces

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Updated at: 27-04-2024

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Project acronym CURVATURE

Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications

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Updated at: 27-04-2024

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Project acronym CURVATURE

Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity

Project: CURVATURE

Updated at: 27-04-2024

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Project acronym CURVATURE

Entropy-Transport distances between unbalanced metric measure spaces

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Updated at: 27-04-2024

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Project acronym CURVATURE

Data Management Plan

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Updated at: 27-04-2024

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Constancy of the dimension in codimension one and locality of the unit normal on $\mathrm{RCD}(K,N)$ spaces

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Updated at: 27-04-2024

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Project acronym CURVATURE

On the topology and the boundary ofN–dimensional RCD(K,N) spaces

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Updated at: 27-04-2024

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Project acronym CURVATURE

Boundary regularity and stability for spaces with Ricci bounded below

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Updated at: 27-04-2024

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Project acronym CURVATURE

Entropy-Transport distances between unbalanced metric measure spaces

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Updated at: 27-04-2024

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Project acronym CURVATURE

Resources

Selected filters:

Quantitative Obata's Theorem

Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds

Periodic Reporting for period 4 - CURVATURE (Optimal transport techniques in the geometric analysis of spaces with curva...

New formulas for the Laplacian of distance functions and applications

Improved regularity estimates for Lagrangian flows on RCD(K,N) spaces

Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity

Boundary regularity and stability for spaces with Ricci bounded below

A Talenti-type comparison theorem for $${{\,\mathrm{RCD}\,}}(K,N)$$ spaces and applications

Polya-Szego inequality and Dirichlet p-spectral gap for non-smooth spaces with Ricci curvature bounded below

Sharp Cheeger–Buser Type Inequalities in $$ \mathsf {RCD}(K,\infty )$$ Spaces

Existence and Regularity of Spheres Minimising the Canham–Helfrich Energy

A reverse Hölder inequality for first eigenfunctions of the Dirichlet Laplacian on RCD(,) spaces

Leaves decompositions in Euclidean spaces

An upper bound on the revised first Betti number and a torus stability result for RCD spaces

Improved regularity estimates for Lagrangian flows on RCD(K,N) spaces

The equality case in Cheeger's and Buser's inequalities on RCD spaces

A strict inequality for the minimization of the Willmore functional under isoperimetric constraint

Matrix Hölder's Inequality and Divergence Formulation of Optimal Transport of Vector Measures

An upper bound on the revised first Betti number and a torus stability result for RCD spaces

Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications

Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity

Entropy-Transport distances between unbalanced metric measure spaces

Data Management Plan

Constancy of the dimension in codimension one and locality of the unit normal on $\mathrm{RCD}(K,N)$ spaces

On the topology and the boundary ofN–dimensional RCD(K,N) spaces

Boundary regularity and stability for spaces with Ricci bounded below

Entropy-Transport distances between unbalanced metric measure spaces