SYMPLECTIC AND PARA-KÄHLER STRUCTURES ON HOM-LIE ALGEBROIDS

Esmaeil Peyghan, Leila Nourmohammadifar, Abdenacer Makhlouf

Abstract


The purpose of this paper is to study Hom-algebroids, among them left symmetric Homalgebroids and symplectic Hom-algebroids by providing some characterizations and geometric interpretations. Therefore, we introduce and study para-Kähler Hom-Lie algebroids and show various properties and examples including these structures.

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