Geodesic
A.\,D.~Alexandrov's length manifolds with one-laterally bounded curvature
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–1, Tome 234 (1996), pp. 17-19

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The paper is devoted to discovering relations between inner metrics of manifolds with sectional curvature bounded from above (from below) by some constant and topological (simplicial, piecewise-linear, or smooth) structures on such manifolds. Examples of Alexandrov spaces with one-laterally bounded curvature having exotic properties are given. Bibl. 5 titles. 
@article{ZNSL_1996_234_a3,
     author = {V. N. Berestovskii},
     title = {A.\,D.~Alexandrov's length manifolds with one-laterally bounded curvature},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {17--19},
     publisher = {mathdoc},
     volume = {234},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_234_a3/}
}
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V. N. Berestovskii. A.\,D.~Alexandrov's length manifolds with one-laterally bounded curvature. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–1, Tome 234 (1996), pp. 17-19. http://geodesic.mathdoc.fr/item/ZNSL_1996_234_a3/