6 citations · 10 across the 7 of their papers we have counts for
7 papers · 1 filter
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…
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…
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.
Curvature estimates for properly immersed -bounded submanifolds
G. Pacelli Bessa, Barnabe P. Lima, Leandro F. Pessoa
Jorge-Koutrofiotis and Pigola-Rigoli-Setti proved sharp sectional curvature estimates for extrinsically bounded submanifolds. Alias, Bessa and Montenegro showed that these estimate…
On the Omori-Yau Maximum Principle and Geometric Applications
Barnabe Pessoa LIma, Leandro De Freitas Pessoa
We introduce a version of the Omori-Yau maximum principle which generalizes the version obtained by Pigola-Rigoli-Setti 21. We apply our method to derive a non-trivial generalizati…
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",…
Fundamental tone estimates for elliptic operators in divergence form and geometric applications
Gregorio Pacelli F Bessa, Barnabe Pessoa Lima, J. Fabio Montengro +1
We establish a method for giving lower bounds for the fundamental tone of elliptic operators in divergence form in terms of the divergence of vector fields. We then apply this meth…