Parker Glynn-Adey

collaborators

2 papers

math.DG2015

Subdividing Three-Dimensional Riemannian Disks

Parker Glynn-Adey, Zhifei Zhu

P. Papasoglu asked in [Pap13] whether for any Riemannian 3-disk $M$ with diameter $d$ , boundary area $A$ and volume $V$ , there exists a homotopy $S_{t}$ contracting the boundary to a…

math.DG2014

Width, Ricci curvature and minimal hypersurfaces

Parker Glynn-Adey, Yevgeny Liokumovich

Let $(M, g_{0})$ be a closed Riemannian manifold of dimension $n$ , for $3 \leq n \leq 7$ , and non-negative Ricci curvature. Let $g = ϕ^{2} g_{0}$ be a metric in the conformal class of $g_…