Daniel J. F. Fox

collaborators

2 papers

math.RA2026

Commutative algebras satisfying univariate identities with vanishing Peirce polynomial

Daniel J. F. Fox, Vladimir G. Tkachev

We introduce and study $(2, 3)$ -palintropic algebras, a class of commutative algebras defined by the identity $(x^{3})^{2} - (x^{2})^{3} = 0$ . This specific relation is the simplest gen…

math.DG2025

Curvature equations coupling symmetric tensors with a metric

Daniel J. F. Fox

There are described hierarchies of equations coupling a metric with a trace-free tensor having prescribed symmetries and in the kernel of certain generalized gradients. These speci…