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math.DG2020★ 4 cited
Full Laplace spectrum of distance spheres in symmetric spaces of rank one
Renato G. Bettiol, Emilio A. Lauret, Paolo Piccione
We use Lie-theoretic methods to explicitly compute the full spectrum of the Laplace--Beltrami operator on homogeneous spheres which occur as geodesic distance spheres in (compact o…
math.DG2020★ 1 cited
Subspace foliations and collapse of closed flat manifolds
Renato G. Bettiol, Andrzej Derdzinski, Roberto Mossa +1
We study relations between certain totally geodesic foliations of a closed flat manifold and its collapsed Gromov-Hausdorff limits. Our main results explicitly identify such collap…