22 citations · 82 across the 26 of their papers we have counts for
26 papers
Families of non-tiling domains satisfying Pólya's conjecture
Pedro Freitas, Isabel Salavessa
We show the existence of classes of non-tiling domains satisfying Pólya's conjecture in any dimension, in both the Euclidean and non-Euclidean cases. This is a consequence of a mor…
Pólya-type inequalities on spheres and hemispheres
Pedro Freitas, Jing Mao, Isabel Salavessa
Given an eigenvalue of the Laplace-Beltrami operator on spheres or hemispheres, with multiplicity such that , we characterise the lowest a…
Grassman manifolds as subsets of Euclidean spaces
Armando Machado, Isabel Salavessa
We consider the Grassman manifold as the subset of all orthogonal projections of a given Euclidean space and obtain some explicit formulas concerning the differential ge…
Heinz mean curvature estimates in warped product spaces
Isabel M. C. Salavessa
If a graph submanifold of a Riemannian warped product space is immersed with parallel mean curvature , then we obtain a Hei…
Dirichlet principal eigenvalue comparison theorems in geometry with torsion
Ana Cristina Ferreira, Isabel Salavessa
We describe min-max formulas for the principal eigenvalue of a -drift Laplacian defined by a vector field on a geodesic ball of a Riemannian manifold . Then we derive com…
The Isoperimetric Problem in Higher Codimension
Frank Morgan, Isabel M. C. Salavessa
We consider three generalizations of the isoperimetric problem to higher codimension and provide results on equilibrium, stability, and minimization.