20 citations · 173 across the 34 of their papers we have counts for
5 papers · 1 filter
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…
A Riemannian viewpoint on the Amari-Cencov -connections and Proudman-Johnson equations
Martin Bauer, Alice Le Brigant, Cy Maor
We give a new geometric interpretation of the Amari-Cencov -connections from information geometry: On the space of densities , we show t…
Rigorous analysis of shape transitions in frustrated elastic ribbons
Cy Maor, Maria Giovanna Mora
Ribbons are elastic bodies of thickness and width with (after appropriate nondimensionalization). Many ribbons in nature have a non-trivial internal geometry,…