Geometry at Infinity

We show the existence of a solution to the Ricci flow with a compact length space of bounded curvature, i.e., a space that has curvature bounded above…

We give an extension of Cheeger's deformation techniques for smooth Lie group actions on manifolds to the setting of singular Riemannian foliations…

We study the spectral properties of the Laplace operator associated to a hyperbolic surface in the presence of a unitary representation of the…

We present the Laplace operator associated to a hyperbolic surface \(\Gamma\backslash\mathbb{H}\) and a unitary representation of the fundamental…

The goal of this note is to demonstrate how existing results can be adapted
to establish the following result: A locally metric measure homogeneous…