8 citations · 22 across the 6 of their papers we have counts for
6 papers · 1 filter
Constant Scalar Curvature Metrics on Boundary Complexes of Cyclic Polytopes
Daniel Champion, Andrew Marchese, Jacob Miller +1
In [7], a notion of constant scalar curvature metrics on piecewise flat manifolds is defined. Such metrics are candidates for canonical metrics on discrete manifolds. In this paper…
Regge's Einstein-Hilbert Functional on the Double Tetrahedron
Daniel Champion, David Glickenstein, Andrea Young
The double tetrahedron is the triangulation of the three-sphere gotten by gluing together two congruent tetrahedra along their boundaries. As a piecewise flat manifold, its geometr…
Ricci Yang-Mills solitons on nilpotent Lie groups
Michael Jablonski, Andrea Young
The purpose of this paper is to introduce the Ricci Yang-Mills soliton equations on nilpotent Lie groups. In the 2-step nilpotent setting, we show that these equations are strictly…
Cross curvature flow on a negatively curved solid torus
Jason DeBlois, Dan Knopf, Andrea Young
The classic 2pi-Theorem of Gromov and Thurston constructs a negatively curved metric on certain 3-manifolds obtained by Dehn filling. By Geometrization, any such manifold admits a…
Stability of the Ricci Yang-Mills flow at Einstein Yang-Mills metrics
Andrea Young
Let be a principal U(1)-bundle over a closed manifold . On , one can define a modified version of the Ricci flow called the Ricci Yang-Mills flow, due to these equations…
Asymptotic Stability of the Cross Curvature Flow at a Hyperbolic Metric
Dan Knopf, Andrea Young
We show that there exists a suitable neighborhood of a constant curvature hyperbolic metric such that, for all initial data in this neighborhood, the corresponding solution to a no…