An intrinsic proof of Gromoll-Grove diameter rigidity theorem
2006
Using the spherical trip theorem, we present a new intrinsic proof of Gromoll–Grove diameter rigidity theorem: "If a simply-connected Riemannian manifold has sectional curvature ≥ 1 and diameter , then either it is homeomorphic to a sphere, or it is isometric to one of classic projective spaces".
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