5 papers · 1 filter
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…
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 th…
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…
Completeness and geodesic distance properties for fractional Sobolev metrics on spaces of immersed curves
Martin Bauer, Patrick Heslin, Cy Maor
We investigate the geometry of the space of immersed closed curves equipped with reparametrization-invariant Riemannian metrics; the metrics we consider are Sobolev metrics of poss…