3 papers
math.AP2026
Diffeological Tangent Spaces and Distributional Linearization for Lifted Euler--Reynolds Limits
Alireza Ahmadi, Jean-Pierre Magnot, Bijan Davvaz
We develop a diffeological framework for the geometry of Euler--Reynolds subsolutions of the incompressible Euler equations. Passing to a lifted formulation in which the velocity,…
math.DG2026
Diffeologies on Locally Convex Spaces and Smooth Multiplication of Distributions
Alireza Ahmadi, Bijan Davvaz, Jean-Pierre Magnot
We investigate the canonical and -diffeologies on Hausdorff locally convex spaces and their applications to Schwartz distributions. We prove that a Hausdorff locally conv…
math.DG2023
A remark on stability and the D-topology of mapping spaces
Alireza Ahmadi
We discuss how stability is related to the D-topology of mapping spaces, equipped with the functional diffeology. Indeed, we show that stable classes of mapping spaces are D-open.…