Franciele Conrado

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20182026

most citedTopological obstructions to nonnegative scalar curvature and mean convex boundary

1 citations · 1 across the 6 of their papers we have counts for

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math.DG2026

Eigenvalue Estimates for Schrödinger Operators on Ricci Shrinkers

Xu Cheng, Franciele Conrado, Neilha Pinheiro +1

Let $(M, g, f, τ)$ be a complete Ricci shrinker satisfying $Ric + \nabla^{2} f = \frac{g}{2 τ}$ and let $R$ denote its scalar curvature. For a confined function $V$ on $M$ , we obt…

math.DG2025

An eigenvalue estimate for self-shrinkers in a Ricci shirinker

Franciele Conrado, Detang Zhou

In this paper, we study the drifted Laplacian $Δ_{f}$ on a hypersurface $M$ in a Ricci shrinker $(M, g, f)$ . We prove that the spectrum of $Δ_{f}$ is discrete for immersed hyp…

math.DG2023

The Wasserstein distance for Ricci shrinkers

Franciele Conrado, Detang Zhou

Let $(M^{n}, g, f)$ be a Ricci shrinker such that $Ric_{f} = \frac{1}{2} g$ and the measure induced by the weighted volume element $(4 π)^{- \frac{n}{2}} e^{- f} d v_{g}$ is a probabilit…

math.DG2023

Rigidity for the logarithmic Sobolev inequality on complete metric measure spaces

Franciele Conrado

In this work, we study the rigidity problem for the logarithmic Sobolev inequality on a complete metric measure space $(M^{n}, g, f)$ with Bakry-Émery Ricci curvature satisfying $Ric_f…

math.DG2020

Disks area-minimizing in mean convex Riemannian $n$ -manifolds

Ezequiel Barbosa, Franciele Conrado

We prove the validity of an inequality involving a mean of the area and the length of the boundary of immersed disks whose boundaries are homotopically non-trivial curves in an ori…

math.DG2018★ 1 cited

Topological obstructions to nonnegative scalar curvature and mean convex boundary