activity
20102014
most citedDeformations of 2k-Einstein structures

8 citations · 15 across the 6 of their papers we have counts for

collaborators

6 papers

math.DG2014

Translation hypersurfaces with constant Sr curvature in the Euclidean space

Barnabe Pessoa Lima, Paulo Alexandre Araujo Sousa, Juscelino Pereira Silva +1

In this paper, we give a complete description of all translation hypersurfaces with constant r-curvature Sr, in the Euclidean space.

math.DG2013★ 5 cited

The p-Hyperbolicity of Infinity Volume Ends and Applications

Marcio Batista, Marcos Petrucio Cavalcante, Newton Santos

In this paper we prove a characterization of -hyperbolic ends on complete Riemannian manifolds which carries a Sobolev type inequality.

math.DG2012

Deformation and rigidity results for the 2k-Ricci tensor and the 2k-Gauss-Bonnet curvature

Tiago Caúla, Levi Lopes de Lima, Newton Luis Santos

We present several deformation and rigidity results within the classes of closed Riemannian manifolds which either are -Einstein (in the sense that their -Ricci tensor is c…

math.DG2010

A theorem of do Carmo-Zhou type: oscillations and estimates for the first eigenvalue of the p-Laplacian

Barnabe Pessoa Lima, Newton Luis Santos

It is shown that the estimates obtained by Manfredo P. do Carmo and Detang Zhou, in their paper "Eigenvalue estimate on complete noncompact Riemannian manifolds and applications",…

math.DG2010★ 2 cited

The Yamabe problem for Gauss-Bonnet curvatures: a local result around space forms

Levi Lopes de Lima, Newton Luis Santos

It is shown in the paper "Variational Properties of the Gauss-Bonnet Curvatures" of M.L. Labbi, that metrics with constant 2k-Gauss-Bonnet curvature on a closed n-dimensional manif…

math.DG2010★ 8 cited

Deformations of 2k-Einstein structures

Levi Lopes de Lima, Newton Luis Santos

It is shown that the space of infinitesimal deformations of 2k-Einstein structures is finite dimensional at compact non-flat space forms. Moreover, spherical space forms are shown…