Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle
Differential Geometry
2026-04-20 v1 Commutative Algebra
Algebraic Geometry
Abstract
In this paper we consider families of mutually commuting endomorphisms of the generalized tangent bundle. We identify natural tensorial constraints extending the notion of a generalized K\"ahler structure to endomorphisms that are not necessarily generalized almost complex structures. These tensors form ideals whose generators we explicitly construct and study using Gr\"obner basis techniques.
Keywords
Cite
@article{arxiv.2604.15691,
title = {Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle},
author = {Marco Aldi and Sergio Da Silva and Daniele Grandini},
journal= {arXiv preprint arXiv:2604.15691},
year = {2026}
}
Comments
30 pages; Macaulay2 code included in ancillary files