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Levi-Civita connection for $SU_q(2)$

Published 31 Mar 2020 in math.QA, math-ph, and math.MP | (2003.14196v1)

Abstract: We prove that the $4D_\pm$ calculi on the quantum group $SU_q(2)$ satisfy a metric-independent sufficient condition for the existence of a unique bicovariant Levi-Civita connection corresponding to every bi-invariant pseudo-Riemannian metric.

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