3 papers
math.DG2019
Geometric Methods in Partial Differential Equations
Ahmed Sebbar, Daniele Struppa, Oumar Wone
We study the interplay between geometry and partial differential equations. We show how the fundamental ideas we use require the ability to correctly calculate the dimensions of sp…
math.DG2018
Frobenius determinants and Bessel Functions
Ahmed Sebbar, Oumar Wone
We study the geometry and partial differential equations arising from the consideration of Frobenius determinants, also called-group-determinants. This leads us to address some asp…
math.DG2012
Affine geometry of second order ODEs
Oumar Wone
We apply the Cartan equivalence method to the study of real analytic second order ODEs under the local real analytic diffeomorphism of $\C^2$ which are area-preserving. This enable…