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Two-dimensional kinematics of bounded curvature. I. (English. Russian original) Zbl 0492.53013
Sib. Math. J. 22, 653-672 (1982); translation from Sib. Mat. Zh. 22, No. 5, 3-30 (1981).

MSC:
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
70B05 Kinematics of a particle
51H20 Topological geometries on manifolds
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References:
[1] A. D. Aleksandrov, ?Foundations of the intrinsic geometry of surfaces,? Dokl. Akad. Nauk SSSR,60, No. 9, 1483-1486 (1948).
[2] A. D. Aleksandrov, ?Curves in manifolds of bounded curvature,? Dokl. Akad. Nauk SSSR,63, No. 4, 349-352 (1948).
[3] A. D. Aleksandrov and V. A. Zalgaller, ?Two-dimensional manifolds of bounded curvature,? Tr. Mat. Inst. Akad. Nauk SSSR,63, 1-263 (1962).
[4] V. L. Gurevich, ?Two-dimensional manifolds of bounded curvature,? Dokl. Akad. Nauk SSSR,247, No. 1, 22-25 (1979). · Zbl 0428.53030
[5] R. I. Pimenov, Spaces of Kinematic Type [in Russian], Nauka, Leningrad (1968). · Zbl 0167.18805
[6] R. I. Pimenov, ?The theory of curves in smooth kinematics,? Sib. Mat. Zh.,19, No. 2, 370-384 (1978). · Zbl 0394.53017
[7] H. Busemann, Timelike Spaces, Warsaw (1967).
[8] V. L. Gurevich, ?Kinematics of bounded curvature,? Sib. Mat. Zh.,20, No. 1, 37-48 (1979). · Zbl 0427.53031
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