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math.DG2023
Zero-curvature subconformal structures and dispersionless integrability in dimension five
Boris Kruglikov, Omid Makhmali
We extend the recent paradigm "Integrability via Geometry" from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to…
math.DG2023
A characterization of chains in dimension three
Wojciech Kryński, Omid Makhmali
Given a 3-dimensional (para-)CR structure, its family of chains define a 3-dimensional path geometry. We provide necessary and sufficient conditions that determine whether a path g…
math.DG2023
Parabolic quasi-contact cone structures with an infinitesimal symmetry
Omid Makhmali, Katja Sagerschnig
We interpret the property of having an infinitesimal symmetry as a variational property in certain geometric structures. This is achieved by establishing a one-to-one correspondenc…