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math.DG2025
From n-systems to Lie and Courant algebroids
Liqiang Cai, Zhuo Chen, Zhixiong Chen +1
This paper introduces a method for constructing pure algebroids, dull algebroids, and Lie algebroids. The construction relies on what we deffned as n-systems on vector bundles, and…
math.DG2025
Atiyah constructions for Lie algebroid connections on fiber bundles
Chen He, Dadi Ni, Zhuo Chen
To address the need for a unified framework that incorporates Lie algebroid connections on both vector and principal bundles, this paper investigates a generalized Atiyah algebroid…