4 papers
Spectral rigidity of manifolds with Ricci bounded below and maximal bottom spectrum
Luciano Mari, Marcos Ranieri, Elaine Sampaio +1
We investigate the spectrum of the Laplacian on complete, non-compact manifolds whose Ricci curvature satisfies , for some continuous,…
Rotational Ricci surfaces
Iury Domingos, Roney Santos, Feliciano Vitório
We classify rotational surfaces in the three-dimensional Euclidean space whose Gaussian curvature satisfies \begin{equation*} KΔK - \|\nabla K\|^2-4K^3 = 0. \end{equation*} The…
A note on area estimates for stable -hypersurfaces and applications
Marcos Ranieri, Elaine Sampaio, Feliciano Vitório
We show some area estimates for stable CMC hypersurfaces immersed in Riemannian manifolds with scalar and sectional curvature bounded from below. In particular, we focus on immersi…
A -homothetic uniqueness of the critical catenoid
Iury Domingos, Roney Santos, Feliciano Vitório
We prove a uniqueness result for free boundary minimal annuli in the unit Euclidean three-ball that are -homothetic to the critical catenoid.