This is a preview of subscription content, log in via an institution to check access.
Literature Cited
A. D. Aleksandrov [A. D. Alexandrow], “Über eine Verallgemeinerung der Riemannschen Geometrie,” Schrifenreihe Ints. Math. Dtsch. Akad. Wiss., Berlin, No. 1, 33–84 (1957).
A. D. Aleksandrov, “A theorem on triangles in a metric space and some of its applications,” Tr. Mat. Inst. Akad. Nauk. SSSR,38, 5–23 (1951).
V. N. Berestovskii, “Introduction of the Riemannian structure in certain metric spaces,” Sib. Mat. Zh.,16, No. 4, 651–662 (1975).
E. Cartan, Geometry of Riemannian Spaces [Russian translation], Ob"edinennoe, Nauchno-Tekhnicheskoe Izd., Moscow-Leningrad (1936).
I. G. Nikolaev “The parallel displacement and smoothness of metric spaces with bounded curvature,” Dokl. Akad. Nauk SSSR,250, No. 5, 1056–1058 (1980).
Additional information
Mathematics Institute, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 24, No. 1, pp. 130–145, January–February, 1983.
Rights and permissions
About this article
Cite this article
Nikolaev, I.G. Parallel displacement of vectors in spaces of Aleksandrov two-side-bounded curvature. Sib Math J 24, 106–119 (1983). https://doi.org/10.1007/BF00968803
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00968803