3 papers
math.DG2025
Rigidity of the hyperbolic marked energy spectrum and entropy for -surfaces
Sébastien Alvarez, Ben Lowe, Graham Smith
Labourie raised the question of determining the possible asymptotics for the growth rate of compact -surfaces, counted according to energy, in negatively curved -manifolds, i…
math.DG2025
Foliated Plateau problems, geometric rigidity and equidistribution of closed -surfaces
Sébastien Alvarez
In this note, we survey recent advances in the study of dynamical properties of the space of surfaces with constant curvature in three-dimensional manifolds of negative sectional c…
math.DG2024
Foliated Plateau problems and asymptotic counting of surface subgroups
Sébastien Alvarez, Ben Lowe, Graham Smith
In [17], Labourie initiated the study of the dynamical properties of the space of -surfaces, that is, suitably complete immersed surfaces of constant extrinsic curvature in -…