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The Kuramoto model evolves on the circle, i.e., the 1-sphere mathsf S^ 1. A graph mathcal G is referred to as mathsf S^ 1 -synchronizing if the Kuramoto model on mathcal G synchronizes almost globally. This paper generalizes the Kuramoto model and the concept of synchronizing graphs to the Stiefel manifold St (p, n). Previous work on generalizations of the Kuramoto model have largely been influenc