4 citations · 6 across the 8 of their papers we have counts for
11 papers
Ambient geometry via min-max widths of embedded circles
Lucas Ambrozio, Ivan Miranda, Rafael Montezuma
We prove a lower bound for the Birkhoff min-max invariant of a Riemannian sphere in terms of the min-max width of its embedded circles. The main tool is a method to induce a sweepo…
The min-max width of spheres associated to the distance function
Rafael Montezuma, Idalina Ribeiro
What one obtains when the min-max methods for the distance function are applied on the space of pairs of points of a Riemannian two-sphere? This question is studied in details in t…
The width of embedded circles
Lucas Ambrozio, Rafael Montezuma, Roney Santos
We develop a Morse-Lusternik-Schnirelmann theory for the distance between two points of a smoothly embedded circle in a complete Riemannian manifold. This theory suggests very natu…
The first width of non-negatively curved surfaces with convex boundary
Sidney Donato, Rafael Montezuma
In this paper, free boundary geodesic networks whose length realize the first min-max width of the length functional are investigated. This functional acts on the space of relative…
Morse inequalities for the area functional
Fernando C. Marques, Rafael Montezuma, André Neves
In this article we prove the strong Morse inequalities for the area functional in codimension one, assuming that the ambient dimension satisfies , in both th…
On free boundary minimal surfaces in the Riemannian Schwarzschild manifold
Rafael Montezuma
Is it possible to obtain unbounded minimal surfaces in certain asymptotically flat 3-manifolds as a limit of solutions to a natural mountain pass problem with diverging boundaries?…