J. L. Barbosa

activity

20062022

most citedFoliations and Chern-Heinz inequalities

11 citations · 11 across the 7 of their papers we have counts for

collaborators

7 papers

math.DG2022

On the Cylinder Theorem in $M^{2} \times R^{n}$

João L. M. Barbosa, G. Pacelli Bessa

Consider a surface $M^{2}$ with Gaussian curvature either $< 0$ or $> 0$ . We prove that in $M^{2} \times R^{n}$ cylinders are characterized as the hypersurfaces with both the ext…

math.DG2018

The Cylinder Theorem in $H^{2} \times R$

João Lucas Marques Barbosa, Manfredo Perdigão do Carmo

We consider cylinders in $H^{2} \times R$ (see definitions in the introduction) and prove that a complete and connected surface in $H^{2} \times R$ with the vanishing of th…

math.DG2014

Globally subanalytic CMC surfaces in $R^{3}$

João Lucas M. Barbosa, Lev Birbrair, Manfredo P. do Carmo +1

We prove that globally subanalytic nonsingular CMC surfaces of $R^{3}$ are only planes, round spheres or right circular cylinders

math.DG2014

On regular algebraic surfaces of $R^{3}$ with constant mean curvature

João Lucas Marques Barbosa, Manfredo Perdigão do Carmo

We consider regular surfaces $M$ that are given as the zeros of a polynomial function $p : R^{3} \to R$ , where the gradient of $p$ vanishes nowhere. We assume that $M$ has non-z…

math.DG2008

Closed Weingarten hypersurfaces in warped product manifolds

F. Andrade, J. L. Barbosa, J. H. de Lira

Given a compact Riemannian manifold $M$ , we consider a warped product $M ˉ = I \times_{h} M$ where $I$ is an open interval in $\Rr$. We suppose that the mean curvature of the fibe…

math.DG2007

Uniqueness of starshaped compact hypersurfaces with prescribed $m$ -th mean curvature in hyperbolic space

J. Lucas M. Barbosa, Jorge H. S. de Lira, Vladimir Oliker

Let $ψ$ be a given function defined on a Riemannian space. Under what conditions does there exist a compact starshaped hypersurface $M$ for which $ψ$ , when evaluated on $M$ , coinci…

On the Cylinder Theorem in M2×Rn

The Cylinder Theorem in H2×R

Globally subanalytic CMC surfaces in R3

On regular algebraic surfaces of R3 with constant mean curvature