$\text{F-manifolds}$, F${}_{\text{man}}$-algebras and $\text{Poisson-algebra}$ Distributions

Santiago Castañeda-Montoya, Alexander Torres-Gomez

This paper investigates the geometric and algebraic interplay between F-manifolds and a newly defined class of structures termed F${}_{\text{man}}$-algebras. We specialize our study to…