High Quality Content by WIKIPEDIA articles! In mathematics, the soul theorem is a theorem of Riemannian geometry that largely reduces the study of complete manifolds of non-negative sectional curvature to that of the compact case. Cheeger and Gromoll proved the theorem in 1972 by generalizing a 1969 result of Gromoll and Meyer. The related soul conjecture was formulated by Gromoll and Cheeger in 1972 and proved by Perelman in 1994 with an astonishingly concise proof.

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