KnowraCartan–Hadamard theoremLinked fromLinked fromThe 3 pages that link to Cartan–Hadamard theorem, each with the reason it gives.All 3Related 2Compared with 1Exponential mapRelated: It gives conditions under which the local construction becomes globally one-to-one and onto.Cartan–Hadamard conjectureRelated: Its global exponential-map description supplies the setting for comparing geodesic balls with Euclidean balls.Myers's theoremCompared with: Its nonpositive-curvature setting leads toward noncompactness rather than Myers's compactness conclusion.