Alexander Torres-Gomez

collaborators

2 papers

math.DG2026

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

Santiago CastaÃ±eda-Montoya, 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 $_{man}$ -algebras. We specialize our study to…

math.DG2024

Double extension of flat pseudo-Riemannian $F$ -Lie algebras

Alexander Torres-Gomez, Fabricio Valencia

We define the concept of a flat pseudo-Riemannian $F$ -Lie algebra and construct its corresponding double extension. This algebraic structure can be interpreted as the infinitesimal…

F-manifolds, Fman​-algebras and Poisson-algebra Distributions

Double extension of flat pseudo-Riemannian F-Lie algebras

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

Double extension of flat pseudo-Riemannian $F$ -Lie algebras