2 papers
math.DG2026
Attached Submanifolds Beyond Symmetric Spaces
Megan M. Kerr, Tracy L. Payne
We study submanifold geometry in the presence of symmetry, focusing on submanifolds of solvmanifolds with an unusual property relative to Ricci curvature. We generalize work of H.…
math.MG2024
Generalized Voronoi Diagrams and Lie Sphere Geometry
John Edwards, Tracy Payne, Elena Schafer
We use Lie sphere geometry to describe two large categories of generalized Voronoi diagrams that can be encoded in terms of the Lie quadric, the Lie inner product, and polyhedra. T…