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math.DG2025
Lengths of Orthogonal Geodesic Chords on Riemannian Manifolds
Isabel Beach, Haydeé Contreras-Peruyero, Erin Griffin +2
Let be a closed submanifold of a complete manifold, . Then under certain topological conditions, there exists an orthogonal geodesic chord beginning and ending in . In th…
math.DG2024
Extended Solitons of the Ambient Obstruction Flow
Erin Griffin, Rahul Poddar, Ramesh Sharma +1
In this paper we expand on the work of the first author on ambient obstruction solitons, which are self-similar solutions to the ambient obstruction flow. Our main result is to sho…
math.DG2020
Gradient Ambient Obstruction Solitons on Homogeneous Manifolds
Erin Griffin
We examine homogeneous solitons of the ambient obstruction flow and, in particular, prove that any compact ambient obstruction soliton with constant scalar curvature is trivial. Fo…