Year: 2018
Type: preprint
Abstract: We show that the term `superdifferential equation' has been employed in the literature to refer to different types of differential equations with even and odd variables. It is justified on physical and mathematical grounds that a subclass of them, the hereafter called Grassmann-valued differential equations, cannot be effectively described through supergeometric techniques. Instead, we analyse them in terms of standard differential equations on Grassmann algebra bundles. Our considerations are illustrated through examples of physical and mathematical relevance.
Source: arXiv (Cornell University)
Authors: Grabowski, Janusz, de Lucas, Javier
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2894716505