M. Carmo

activity

20142018

most citedStable hypersurfaces with zero scalar curvature in Euclidean space

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

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.DG2015★ 2 cited

Stable hypersurfaces with zero scalar curvature in Euclidean space

Hilário Alencar, Manfredo do Carmo, Gregório Silva Neto

In this paper we prove some results concerning stability of hypersurfaces in the four dimensional Euclidean space with zero scalar curvature. First we prove there is no complete st…

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…

The Cylinder Theorem in H2×R

Stable hypersurfaces with zero scalar curvature in Euclidean space

Globally subanalytic CMC surfaces in R3

On regular algebraic surfaces of R3 with constant mean curvature

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

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

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