Marcos Ranieri

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20232026

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math.DG2026

Minimal hypersurfaces of finite $δ$ -index in $R^{4}$ and $R^{5}$

Marcos Ranieri

Let $X : M^{n} \to R^{n + 1}$ be a complete, connected, two-sided minimal immersion without boundary, where $n = 3, 4$ . We prove that finite $δ$ -index, finite Morse index, and finite…

math.DG2025

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 $M^{n}$ whose Ricci curvature satisfies $Ric \geq - (n - 1) H (r)$ , for some continuous,…

math.DG2023

A note on area estimates for stable $H$ -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…

Minimal hypersurfaces of finite δ-index in R4 and R5

Spectral rigidity of manifolds with Ricci bounded below and maximal bottom spectrum

A note on area estimates for stable H-hypersurfaces and applications

Minimal hypersurfaces of finite $δ$ -index in $R^{4}$ and $R^{5}$

A note on area estimates for stable $H$ -hypersurfaces and applications