Metric Spaces of Non-Positive Curvature

Focusing on the global properties of complete simply connected spaces with non-positive curvature, this book delves into metric spaces where any two points are connected by arcs resembling compact intervals of the real line. It examines the CAT(0) inequality, a crucial concept that embodies non-positive curvature in Riemannian geometry, and explores the elegant features of such spaces. Additionally, it addresses the structure of groups acting on these spaces by isometries, rooted in the foundational work of A. D. Alexandrov.