Antonio G. Ache

activity

20112015

most citedSobolev-Trace inequalities of order four

21 citations · 43 across the 7 of their papers we have counts for

collaborators

Showing 2015 · math.DGShow all

3 papers · 2 filters

math.DG2015★ 1 cited

Coarse Ricci curvature as a function on $M \times M$

Antonio Ache, Micah Warren

We use the framework used by Bakry and Emery in their work on logarithmic Sobolev inequalities to define a notion of coarse Ricci curvature on smooth metric measure spaces alternat…

math.DG2015★ 5 cited

Metrics with non-negative Ricci curvature on convex three-manifolds

Antonio Ache, Davi Maximo, Haotian Wu

We prove that the space of smooth Riemannian metrics on the three-ball with non-negative Ricci curvature and strictly convex boundary is path connected; and, moreover, that the ass…

math.DG2015

Approximating coarse Ricci curvature on submanifolds of Euclidean space

Antonio Ache, Micah Warren

For an embedded submanifold $Σ \subset R^{N}$ , Belkin and Niyogi showed that one can approximate the Laplacian operator using heat kernels. Using a definition of coarse Ricc…

Coarse Ricci curvature as a function on M×M

Metrics with non-negative Ricci curvature on convex three-manifolds

Approximating coarse Ricci curvature on submanifolds of Euclidean space

Coarse Ricci curvature as a function on $M \times M$