“…We mention just a few of the works on Kuramoto models over manifolds: the sphere [Crnkić and Jaćimović, 2018], the ellipsoid [Zhu, 2014], and the hyperboloid . Similar results also appear in applications involving e.g., opinion consensus [Aydogdu et al, 2017], bio-inspired models of source-seeking and learning [Al-Abri et al, 2018, Crnkić andJaćimović, 2018], and computer science applications like time-series clustering [Crnkić and Jaćimović, 2019] and shape matching of polytopes [Ha and Park, 2020]. Some of these results on local convergence to the consensus manifold [Lohe, 2010, Aydogdu et al, 2017, DeVille, 2018, Markdahl et al, 2018 are summarized by our stability result for analytic manifolds.…”