S. Sutlu

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20242026

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4 papers · 1 filter

math.DG2026

Couplings of $3$ -anchored Bundles

BegÃ¼m AteÅli, OÄul Esen, Serkan SÃ¼tlÃ¼

This work develops an algebraic framework for merging two $3$ -anchored bundles over the same base manifold, equipped with mutual actions and two twisted cocycle terms, so as to obt…

math.DG2026

Constructions of $3$ -Lie algebroids

BegÃ¼m AteÅli, OÄul Esen, Serkan SÃ¼tlÃ¼

The paper investigates the construction of Lie algebroids and $3$ -Lie algebroids via connections generated by finite families of differential operators and dual sections. We first…

math.DG2025

On Product Lie Algebroids, and Collective Motion

BegÃ¼m AteÅli, OÄul Esen, Serkan SÃ¼tlÃ¼

This work explores the geometrical/algebraic framework of Lie algebroids, with a specific focus on the decoupling and coupling phenomena within the bicocycle double cross product r…

math.DG2024

Dynamics Over Homogeneous Spaces

Filiz ÃaÄatay UÃ§gun, OÄul Esen, Serkan SÃ¼tlÃ¼

We present the Euler-Lagrange and Hamilton's equations for a system whose configuration space is a unified product Lie group $G = M ⋈_{I^}^{3} H$ , for some $I^^{3} : M \times M \to H$ . By re…

Couplings of 3-anchored Bundles

Constructions of 3-Lie algebroids

On Product Lie Algebroids, and Collective Motion

Dynamics Over Homogeneous Spaces

Couplings of $3$ -anchored Bundles

Constructions of $3$ -Lie algebroids