2 papers
math.GT2025
Volumes of Nullhomotopies in Nilpotent Spaces
Kyle Hansen
The Shadowing Principle of Manin has proved a valuable tool for addressing questions of quantitative topology raised by Gromov in the late 1900s. The principle informally provides…
math.DS2024
Simple Tilings of Nilpotent Lie Groups
Kyle Hansen
We define simple tilings in the general context of a -tiling on a Riemannian homogeneous space to be tilings by Riemannian simplices. As evidence that this definition is nat…