J. Benn

activity

20162025

most citedCurrents and finite elements as tools for shape space

5 citations · 7 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.DG2025

Singular Sets of Riemannian Exponential Maps in Hydrodynamics

James Benn, Patrick Heslin, Leandro Lichtenfelz +1

We prove that the singular sets for the Lagrangian solution maps of the two-dimensional inviscid Euler and generalized surface quasi-geostrophic equations are Gaussian null sets. T…

math.DG2017

Sobolev $H^{1}$ Geometry of the Symplectomorphism Group

James Benn, Ali Suri

For a closed symplectic manifold $(M, ω)$ with compatible Riemannian metric $g$ we study the Sobolev $H^{1}$ geometry of the group of all $H^{s}$ diffeomorphisms on $M$ which preserve t…

math.DG2016

The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary

James Benn, Gerard Misiolek, Stephen C. Preston

We prove that the Riemannian exponential map of the right-invariant $L^{2}$ metric on the group of volume-preserving diffeomorphisms of a two-dimensional manifold with a nonempty bou…

Singular Sets of Riemannian Exponential Maps in Hydrodynamics

Sobolev H1 Geometry of the Symplectomorphism Group

The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary

Sobolev $H^{1}$ Geometry of the Symplectomorphism Group