F. Manfio

collaborators

4 papers

math.DG2026

Eigenvalue estimates and applications on weighted manifolds

A. C. Bezerra, T. Castro Silva, F. Manfio

We will present an estimate for the first eigenvalue of the Dirichlet and Neumann problems in terms of the Bakry-Ãmery Ricci curvature for a compact weighted manifold. As an appli…

math.DG2026

Surfaces with parallel mean curvature in warped product spaces

Fernando Manfio, VerÃ´nica Reis, Feliciano VitÃ³rio

In this work, we obtain a geometric description of surfaces $M^{2}$ of arbitrary codimension in the warped product $R \times_{I ¨} Q_{I^}^{n} µ$ , with parallel mean curvature…

math.DG2024

Hypersurfaces of $S^{3} \times R$ and $H^{3} \times R$ with constant principal curvatures

Fernando Manfio, JoÃ£o Batista Marques dos Santos, JoÃ£o Paulo dos Santos +1

We classify the hypersurfaces of $Q^{3} \times R$ with three distinct constant principal curvatures, where $ε \in {1, - 1}$ and $Q^{3}$ denotes the u…

math.DG2024

Complete cohomogeneity one hypersurfaces of $H^{n + 1}$

Felippe GuimarÃ£es, Fernando Manfio, Carlos E. Olmos

We study isometric immersions $f : M^{n} \to H^{n + 1}$ into hyperbolic space of dimension $n + 1$ of a complete Riemannian manifold of dimension $n$ on which a compact c…

Eigenvalue estimates and applications on weighted manifolds

Surfaces with parallel mean curvature in warped product spaces

Hypersurfaces of S3×R and H3×R with constant principal curvatures

Complete cohomogeneity one hypersurfaces of Hn+1

Hypersurfaces of $S^{3} \times R$ and $H^{3} \times R$ with constant principal curvatures

Complete cohomogeneity one hypersurfaces of $H^{n + 1}$