20 citations · 173 across the 34 of their papers we have counts for
4 papers · 1 filter
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…
The -Fisher-Rao metric and Amari-Cencov -connections
Martin Bauer, Alice Le Brigant, Yuxiu Lu +1
We introduce a family of Finsler metrics, called the -Fisher-Rao metrics , for , which generalizes the classical Fisher-Rao metric , both on the spa…
Stability of isometric immersions of hypersurfaces
Itai Alpern, Raz Kupferman, Cy Maor
We prove a stability result of isometric immersions of hypersurfaces in Riemannian manifolds, with respect to -perturbations of their fundamental forms: For a manifold e…
From Volterra dislocations to strain-gradient plasticity
Raz Kupferman, Cy Maor
We rigorously derive a strain-gradient model of plasticity as a -limit of continuum bodies containing finitely-many edge-dislocations (in two dimensions). The key difference fro…