Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle

Fuente: arXiv
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Auteurs principaux: Aldi, Marco, Da Silva, Sergio, Grandini, Daniele
Format: Preprint
Publié: 2026
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author Aldi, Marco
Da Silva, Sergio
Grandini, Daniele
author_facet Aldi, Marco
Da Silva, Sergio
Grandini, Daniele
contents 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 Kähler structure to endomorphisms that are not necessarily generalized almost complex structures. These tensors form ideals whose generators we explicitly construct and study using Gröbner basis techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2604_15691
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle
Aldi, Marco
Da Silva, Sergio
Grandini, Daniele
Differential Geometry
Commutative Algebra
Algebraic Geometry
Primary: 53D18, Secondary: 13P10, 13A35, 14P99
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 Kähler structure to endomorphisms that are not necessarily generalized almost complex structures. These tensors form ideals whose generators we explicitly construct and study using Gröbner basis techniques.
title Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle
topic Differential Geometry
Commutative Algebra
Algebraic Geometry
Primary: 53D18, Secondary: 13P10, 13A35, 14P99
url https://arxiv.org/abs/2604.15691