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math.DG2022
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…
math.AP2022
Some remarks on critical sets of Laplace eigenfunctions
Chris Judge, Sugata Mondal
We study the set of critical points of a solution to and in particular components of the critical set that have codimension 1. We show, for example, that if a secon…