Davide Parise

activity

20182026

most citedWarped Tori with Almost Non-Negative Scalar Curvature

13 citations · 14 across the 8 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.DG2024

Almost minimizing Yang $-$ Mills fields: log-epiperimetric inequality, non-concentration, and uniqueness of tangents

Riccardo Caniato, Davide Parise

We establish a direct log-epiperimetric inequality for Yang $-$ Mills fields in arbitrary dimension and we leverage on it to prove uniqueness of tangent cones with isolated singulari…

math.AP2024★ 1 cited

Rectifiability of the singular set and uniqueness of tangent cones for semicalibrated currents

Paul Minter, Davide Parise, Anna Skorobogatova +1

We prove that the singular set of an $m$ -dimensional integral current $T$ in $R^{n + m}$ , semicalibrated by a $C^{2, κ_{0}}$ $m$ -form $ω$ is countably $(m - 2)$ -rectifiable.…

math.AP2024

Quantitative stability of Sobolev inequalities on compact Riemannian manifolds

Francesco Nobili, Davide Parise

We study quantitative stability results for different classes of Sobolev inequalities on general compact Riemannian manifolds. We prove that, up to constants depending on the manif…

Almost minimizing Yang−Mills fields: log-epiperimetric inequality, non-concentration, and uniqueness of tangents

Rectifiability of the singular set and uniqueness of tangent cones for semicalibrated currents

Quantitative stability of Sobolev inequalities on compact Riemannian manifolds

Almost minimizing Yang $-$ Mills fields: log-epiperimetric inequality, non-concentration, and uniqueness of tangents