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20232026
most citedA lower bound for the first eigenvalue of a minimal hypersurface in the sphere

1 citations · 1 across the 5 of their papers we have counts for

collaborators

6 papers

math.DG2026

Eigenvalue Estimates for Schrödinger Operators on Ricci Shrinkers

Xu Cheng, Franciele Conrado, Neilha Pinheiro +1

Let be a complete Ricci shrinker satisfying and let denote its scalar curvature. For a confined function on , 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 on a hypersurface in a Ricci shrinker . We prove that the spectrum of is discrete for immersed hyp…

math.DG2024

Spectrum of the drift Laplacian on Ricci expanders

Helton Leal, Matheus Vieira, Detang Zhou

In this paper, we study the spectrum of the drift Laplacian on Ricci expanders. We show that the spectrum is discrete when the potential function is proper, and we show that the hy…

math.DG2024★ 1 cited

A lower bound for the first eigenvalue of a minimal hypersurface in the sphere

Asun Jiménez, Carlos Tapia Chinchay, Detang Zhou

Let be a closed embedded minimal hypersurface in the unit sphere and let be the norm of its second fundamental form. In this work we pro…

math.DG2024

Rigidity of compact quasi-Einstein manifolds with boundary

Johnatan Costa, Ernani Ribeiro, Detang Zhou

In this article, we investigate the geometry of compact quasi-Einstein manifolds with boundary. We show that a -dimensional simply connected compact quasi-Einstein manifold with…

math.DG2023

The Wasserstein distance for Ricci shrinkers

Franciele Conrado, Detang Zhou

Let be a Ricci shrinker such that and the measure induced by the weighted volume element is a probabilit…