8 citations · 15 across the 6 of their papers we have counts for
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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.
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.
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…
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",…
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…
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…