Para-Kahler hom-Lie algebroids
E. Peyghan, L. Nourmohammadifar, A. Makhlouf
TL;DR
This paper explores the structure and properties of para-Kähler hom-Lie algebroids, providing characterizations, geometric interpretations, and examples to advance understanding of these mathematical objects.
Contribution
It introduces and studies para-Kähler hom-Lie algebroids, expanding the theory of hom-algebroids with new structures and geometric insights.
Findings
Characterizations of para-Kähler hom-Lie algebroids
Geometric interpretations of these structures
Examples illustrating the concepts
Abstract
The purpose of this paper is to study hom-algebroids, among them left symmetric hom-algebroids and symplectic hom-algebroids by providing some characterizations and geometric interpretations. Therefore, we introduce and study para-K\"{a}hler hom-Lie algebroids and show various properties and examples including these structures.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Cancer Treatment and Pharmacology