activity
20092026
most citedHypersurfaces with constant sectional curvature of $\Sf^n\times \R$ and $\Hy^n\times \R$

1 citations · 1 across the 12 of their papers we have counts for

collaborators

17 papers

math.DG2026

Surfaces with parallel mean curvature in warped product spaces

Fernando Manfio, Verônica Reis, Feliciano Vitório

In this work, we obtain a geometric description of surfaces of arbitrary codimension in the warped product , with parallel mean curvature ve…

math.DG2024

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-Émery Ricci curvature for a compact weighted manifold. As an applic…

math.DG2024

Hypersurfaces of and with constant principal curvatures

Fernando Manfio, João Batista Marques dos Santos, João Paulo dos Santos +1

We classify the hypersurfaces of with three distinct constant principal curvatures, where and denotes the u…

math.DG2024

Complete cohomogeneity one hypersurfaces of

Felippe Guimarães, Fernando Manfio, Carlos E. Olmos

We study isometric immersions into hyperbolic space of dimension of a complete Riemannian manifold of dimension on which a compact c…

math.DG2024

Einstein submanifolds with parallel mean curvature into

Estela Garcia, Fernando Manfio

We prove that Einstein submanifolds in with flat normal bundle and parallel mean curvature are warped product of isometric immersions. Key words: Ein…

math.DG2022

Umbilicity of constant mean curvature hypersurfaces into space forms

A. C. Bezerra, F. Manfio

In this paper we establish conditions on the length of the traceless part of the second fundamental form of a complete constant mean curvature hypersurface immersed in a space of c…