Geodesic
On three-dimensional Riemannian spaces with curvature bounded above
Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 881-887

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For three-dimensional closed simply-connected Riemannian spaces one gets a lower bound for the radius of injectivity of the exponential map from a lower bound of the sectional and an upper bound of the Ricci curvatures. 
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     author = {Yu. D. Burago and V. A. Toponogov},
     title = {On three-dimensional {Riemannian} spaces with curvature bounded above},
     journal = {Matemati\v{c}eskie zametki},
     pages = {881--887},
     publisher = {mathdoc},
     volume = {13},
     number = {6},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a9/}
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Yu. D. Burago; V. A. Toponogov. On three-dimensional Riemannian spaces with curvature bounded above. Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 881-887. http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a9/