3 papers
math.DG2024
Anharmonic Solutions to the Riccati equation and elliptic modular functions
Ahmed Sebbar, Oumar Wone
We study algebraic solutions of the Riccati equation over the field of rational functions , and over the elliptic function field .
math.DG2024
Holomorphic projective connections on surfaces and osculating spaces
Oumar Wone
We study complex analytic projective connections on surfaces in projective n-spaces in terms of the "second" neighborhood of the surface in the ambient space, and in terms of the o…
math.DG2024
Representation Theory and Differential Equations
Ahmed Sebbar, Oumar Wone
We study the geometry and partial differential equations arising from the consideration of group-determinants, and representation theory. The simplest and most striking such exampl…