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arXiv · 1808.06297

Generalized Lie Algebroids - Examples by Distinguished Lie Algebroids with Applications to Optimal Control

Constantin M. Arcus·Esmaeil Peyghan·Esa Sharahi
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Abstract

We will prove that the generalized Lie algebroid is a distinguished example by Lie algebroid. The generality of it with respect to the Lie algebroid is similar with the generality of the pull-back vector bundle with respect to the vector bundle. Next, we will prove that the proof of Theorem 3.1 from [15] is a misconception and the mentioned Theorem has no validity. Finally, we anatomize an optimal control problem solvable in the generalized Lie algebroid framework whereas Lie algebroid instrumentation can not solve it.

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Constantin M. Arcus, Esmaeil Peyghan, Esa Sharahi. 2018-08-20. Generalized Lie Algebroids - Examples by Distinguished Lie Algebroids with Applications to Optimal Control. https://arxiv.org/abs/1808.06297

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