Franciele Conrado

collaborators

3 papers

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…