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math.DG2026
On the Metric Completion of Immersed Open Curves
Ronny Gelman, Cy Maor
The completeness properties of spaces of immersed curves endowed with Sobolev-type reparametrization-invariant Riemannian metrics have been studied extensively in recent years. Whe…
math.AP2026
Energy scaling laws for thin elastic sheets with topological defects
Raz Kupferman, Cy Maor, David Padilla-Garza
We derive energy scaling laws for thin elastic sheets with topological defects --- disclinations and dislocations --- for a fully nonlinear 3D model. For disclinations, the scaling…
math.DG2026
Branch points and non-density for finite-bending isometric immersions of hyperbolic surfaces
Gilad Derfner, Raz Kupferman, Cy Maor
The space of -isometric immersions of a surface into arises naturally in the variational theory of thin elastic sheets: it is precisely the finite-bending c…