Linear convergence with Polyak-Łojasiewicz: Strong g-convexity implies PŁ

This lecture discusses the concept of geodesically strongly convex functions and how they relate to the Polyak-Łojasiewicz (PŁ) condition. It explains the conditions under which PŁ holds for such functions and explores the implications of this property. The lecture also covers the replacement of certain inequalities with infimum conditions and the existence of geodesic segments in g-convex sets.