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math.DG2016
Morse theory for the uniform energy
Ian Adelstein, Jonathan Epstein
In this paper we develop a Morse theory for the uniform energy. We use the one-sided directional derivative of the distance function to study the minimizing properties of variation…
math.DG2016
The G-invariant spectrum and non-orbifold singularities
Ian M. Adelstein, Mary R. Sandoval
We consider the -invariant spectrum of the Laplacian on an orbit space where is a compact Riemannian manifold and acts by isometries. We generalize the Sunada-Pesc…