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4 papers · 2 filters
Systolic volume and minimal entropy of aspherical manifolds
Stephane Sabourau
We establish isosystolic inequalities for a class of manifolds which includes the aspherical manifolds. In particular, we relate the systolic volume of aspherical manifolds first t…
A uniqueness result for maximal surfaces in Minkowski 3-space
Laurent Mazet
In this paper, we study the Dirichlet problem associated to the maximal surface equation. We prove the uniqueness of bounded solutions to this problem in unbounded domain in R^2.
An Induction Principle for the Weighted p-Energy Minimality of x/|x|
Jean-Christophe Bourgoin
In this paper, we investigate minimizing properties of the map from the Euclidean unit ball to its boundary , for the weighted energy f…
Systoles of 2-complexes, Reeb graph, and Grushko decomposition
Mikhail G. Katz, Yuli B. Rudyak, Stephane Sabourau
Let X be a finite 2-complex with unfree fundamental group. We prove lower bounds for the area of a metric on X, in terms of the square of the least length of a noncontractible loop…