Information Geometry on Groupoids: The Case of Singular Metrics

DOI10.1142/S1230161220500158zbMath1480.81018arXiv2006.07621OpenAlexW3034762343MaRDI QIDQ5013207

Katarzyna Grabowska, Janusz Grabowski, Giuseppe Marmo, Marek M. Kuś

Publication date: 29 November 2021

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07621

zbMATH Keywords

Riemannian metricLie groupoidLevi-Civita connectionLie algebroidstatistical manifold

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Applications of differential geometry to physics (53Z05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Linear and affine connections (53B05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

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