20 citations · 29 across the 4 of their papers we have counts for
6 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…
Large spectral gaps for Steklov eigenvalues under volume constraints and under localized conformal deformations
Donato Cianci, Alexandre Girouard
In this paper we construct compact manifolds with fixed boundary geometry which admit Riemannian metrics of unit volume with arbitrarily large Steklov spectral gap. We also study t…
On branched minimal immersions of surfaces by first eigenfunctions
Donato Cianci, Mikhail Karpukhin, Vladimir Medvedev
It was proved by Montiel and Ros that for each conformal structure on a compact surface there is at most one metric which admits a minimal immersion into some unit sphere by first…
On the Poisson relation for flat and spherical space forms
Donato Cianci
A general approach to proving that the length spectrum of a compact Riemannian manifold is an invariant of the Laplace spectrum comes from considering the wave trace, a spectrally…
From the Boltzmann equation to fluid mechanics on a manifold
Peter J. Love, Donato Cianci
We apply the Chapman-Enskog procedure to derive hydrodynamic equations on an arbitrary surface from the Boltzmann equation on the surface.
Lattice gas simulations of dynamical geometry in two dimensions
Anna Klales, Donato Cianci, Zachary Needell +2
We present a hydrodynamic lattice gas model for two-dimensional flows on curved surfaces with dynamical geometry. This model is an extension to two dimensions of the dynamical geom…