11 citations · 40 across the 13 of their papers we have counts for
14 papers
Maximizing the first eigenvalue of the Jacobi operator
J. Fabio Montenegro, F. Damiana Vieira
We consider the Jacobi operator, defined on a closed oriented hypersurfaces immersed in the Euclidean space with the same volume of the unit sphere. We show a local generalization…
Foliation by free boundary constant mean curvature leaves
J. Fabio Montenegro
Let be a Riemannian manifold of dimension with smooth boundary and . We prove that there exists a smooth foliation around whose leaves are submanifol…
Deforming the scalar curvature of the de Sitter-Schwarzschild space
C. Tiarlos Cruz, Levi Lopes de Lima, José Fabio Montenegro
Building upon the work of Brendle, Marques and Neves on the construction of counterexamples to Min-Oo's conjecture, we exhibit deformations of the de Sitter-Schwarzschild space of…
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…
Essential spectrum of a class of Riemannian manifolds
Luiz Antonio C. Monte, J. Fabio Montenegro
In this paper we consider a family of Riemannian manifolds, not necessarily complete, with curvature conditions in a neighborhood of a ray. Under these conditions we obtain that th…
Curvature estimates for submanifolds in warped products
L. J. Alias, G. P. Bessa, J. F. Montenegro +1
We give estimates on the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also addres…