Levi-Civita connection for $SU_q(2)$
Quantum Algebra
2020-04-01 v1 Mathematical Physics
math.MP
Abstract
We prove that the calculi on the quantum group satisfy a metric-independent sufficient condition for the existence of a unique bicovariant Levi-Civita connection corresponding to every bi-invariant pseudo-Riemannian metric.
Cite
@article{arxiv.2003.14196,
title = {Levi-Civita connection for $SU_q(2)$},
author = {Sugato Mukhopadhyay},
journal= {arXiv preprint arXiv:2003.14196},
year = {2020}
}