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math.DG2024★ 1 cited
Information geometry of diffeomorphism groups
Boris Khesin, Gerard Misiołek, Klas Modin
The study of diffeomorphism groups and their applications to problems in analysis and geometry has a long history. In geometric hydrodynamics, pioneered by V.~Arnold in the 1960s,…
math.DG2024★ 3 cited
Zeitlin's model for axisymmetric 3-D Euler equations
Klas Modin, Stephen C. Preston
Zeitlin's model is a spatial discretization for the 2-D Euler equations on the flat 2-torus or the 2-sphere. Contrary to other discretizations, it preserves the underlying geometri…