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Feb 24, 2023 at 22:30 comment added André Schlichting The question has its origin in the explicit representation of a particular class of sub-Riemannian geodesics in the space of invertible matrices with positive determinant. Please see Section 2.3 and especially Lemma 2.13 of the preprint: arxiv.org/abs/2302.07773 for more details.
Jan 26, 2023 at 9:35 history edited André Schlichting CC BY-SA 4.0
Solution for SO(2).
Jan 19, 2023 at 22:23 history asked André Schlichting CC BY-SA 4.0