20 citations · 173 across the 34 of their papers we have counts for
35 papers
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…
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…
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…
Curvature Potential Formulation for Thin Elastic Sheets
Yael Cohen, Animesh Pandey, Yafei Zhang +2
Thin elastic sheets appear in systems ranging from graphene to biological membranes, where phenomena such as wrinkling, folding, and thermal fluctuations originate from geometric n…
Completeness of reparametrization-invariant Sobolev metrics on the space of surfaces
Martin Bauer, Cy Maor, Benedikt Wirth
We study reparametrization-invariant Sobolev-type Riemannian metrics on the space of immersed surfaces and establish conditions ensuring metric and geodesic completeness as well as…
The Willmore energy and curvature concentration
Raz Kupferman, Cy Maor, David Padilla-Garza
We study isometric immersions of a Riemannian surface , where , into . We consider their bending energy, i.e., the square of the…