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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.23588 |
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Table of Contents:
- We study the torsion of the $α$-connections defined on the density manifold in terms of a regular Riemannian metric. In the case of the Fisher-Rao metric our results confirm the fact that all $α$-connections are torsion free. For the $α$-connections obtained by the Otto metric, we show that, except for $α= -1$, they are not torsion free.