1 citations · 2 across the 7 of their papers we have counts for
7 papers
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,…
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…
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.…
On diffeologies for power sets and measures
Alireza Ahmadi, Jean-Pierre Magnot
We consider a differential geometric setting on power sets and Borel algebras. Our chosen framework is based on diffeologies, and we make a link between the various diffeological s…
Diffeological Čech cohomology
Alireza Ahmadi
Motivated by problems in which data are given over covering generating families, we suggest a new cohomology theory for diffeological spaces, called diffeological Čech cohomology,…
Submersions, immersions, and étale maps in diffeology
Alireza Ahmadi
Although structural maps such as subductions and inductions appear naturally in diffeology, one of the challenges is providing suitable analogous for submersions, immersions, and é…
Looking for Kähler- Einstein Structure on Cartan Spaces with Berwald connection
E. Peyghan, A. Tayebi, A. Ahmadi
A Cartan manifold is a smooth manifold M whose slit cotangent bundle T*M0 is endowed with a regular Hamiltonian K which is positively homogeneous of degree 2 in momenta. The Hamilt…