2 citations · 3 across the 6 of their papers we have counts for
6 papers
A Gage-type estimate for the -fundamental tone and applications to submanifolds
Matheus Nunes Soares, Fábio reis dos Santos
A generalization of the classical Gage's upper bound for the fundamental tone of the Laplacian on complete non-compact Riemannian manifolds to the -Laplacian context is obtained…
A remark on the first eigenvalue of the p-Laplacian on compact submanifolds in the unit sphere
Matheus Nunes Soares, Fábio Reis dos Santos
An integral inequality for the singular p-laplacian is established for 3/2<p<2. As consequence, lower bounds for the first eigenvalue of the p-laplacian are obtained for minimal su…
Optimal lower estimate for the first eigenvalue of the p-Laplacian
Matheus Nunes Soares, Fábio Reis do Santos
An integral inequality is derived for compact submanifolds (with or without boundary) in the unit sphere. This result leads to a characterization of spheres.
Willmore surfaces and Hopf tori in homogeneous 3-manifolds
Alma L. Albujer, Fábio R. dos Santos
Some classification results for closed surfaces in Berger spheres are presented. On the one hand, a Willmore functional for isometrically immersed surfaces into an homogeneous spac…
Total mean curvature surfaces in the product space and applications
Alma L. Albujer, Sylvia F. da Silva, Fábio R. dos Santos
The total mean curvature functional for submanifolds into the Riemannian product space is considered and its first variational formula is presented.…
Non-degenerate anisocurved surfaces in homogeneous 3-manifolds
Alma L. Albujer, Fábio R. dos Santos
In this manuscript we consider non-degenerate surfaces immersed in a 3-dimensional homogeneous space endowed with two different metrics, the one induced b…