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math.DG2014★ 6 cited
Density and spectrum of minimal submanifolds in space forms
Barnabé Pessoa Lima, José Fabio Montenegro, Luciano Mari +1
Let be a minimal properly immersed submanifold in an ambient space close, in a suitable sense, to the space form of curvature . In this paper, we ar…
math.DG2014
On the stability of minimal cones in warped products
K. S. Bezerra, A. Caminha, B. P. Lima
In a seminal paper published in , J. Simons proved that, for , the Euclidean (minimal) cone , built on a closed, oriented, minimal and non totally geodesic hyper…
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.