2 citations · 4 across the 5 of their papers we have counts for
5 papers
Spectral multiplicity and nodal sets for generic torus-invariant metrics
Donato Cianci, Chris Judge, Samuel Lin +1
Let a torus act freely on a closed manifold of dimension at least two. We demonstrate that, for a generic -invariant Riemannian metric on , each real -eigens…
Geometric structures and the Laplace spectrum, part II
Samuel Lin, Benjamin Schmidt, Craig Sutton
We continue our exploration of the extent to which the spectrum encodes the local geometry of a locally homogeneous three-manifold and find that if and are a pair o…
Geometric structures and the Laplace spectrum
Samuel Lin, Benjamin Schmidt, Craig Sutton
Inspired by the role geometric structures play in our understanding of surfaces and three-manifolds, and Berger's observation that a surface of constant sectional curvature is dete…
Manifolds with many hyperbolic planes
Samuel Lin, Benjamin Schmidt
We construct examples of complete Riemannian manifolds having the property that every geodesic lies in a totally geodesic hyperbolic plane. Despite the abundance of totally geodesi…
Curvature Free Rigidity for Higher Rank Three-Manifolds
Samuel Lin
We prove two rigidity results for complete Riemannian three-manifolds of higher rank. Complete three-manifolds have higher spherical rank if an only if they are spherical space for…