Article 2025 · 0 citations

Kähler-Norden structures on Hom-Lie groups and Hom-Lie algebras

Peyghan, Esmaeil, Nourmohammadifar, Leila, Makhlouf, Abdenacer, Gezer, Aydin

Abstract

The aim of this paper is to describe two geometric notions, holomorphic Norden structures and K & auml;hler-Norden structures on Hom-Lie groups, and study their relationships in the left invariant setting. We study K & auml;hler-Norden structures with abelian complex structures and give the curvature properties of holomorphic Norden structures on Hom-Lie groups. Finally, we show that any left-invariant holomorphic Hom-Lie group is a flat (holomorphic Norden Hom-Lie algebra carries a Hom-Left-symmetric algebra) if its left-invariant complex structure (complex structure) is abelian.

Keywords

Hom-Lie group Hom-Lie algebra holomorphic Norden structure K & auml;hler-Norden structure DEFORMATIONS COMPLEX

WoS Categories

Mathematics Statistics & Probability

Citation

Journal: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Year: 2025
Volume: 54
Issue: 1
Pages: 213-236
eISSN: 2651-477X
DOI: 10.15672/hujms.1344687
WoS UID: WOS:001436688000015

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