KnowraMyers's theoremLinked fromLinked fromThe 2 pages that link to Myers's theorem, each with the reason it gives.All 2Compared with 2Cartan–Hadamard theoremCompared with: Its positive-curvature hypothesis leads to compactness rather than the noncompact global model here.Hopf conjecture (Euler characteristic)Compared with: Positive Ricci curvature gives strong global conclusions, but is weaker than positive sectional curvature.