journal article May 01, 1996

Conformal development of a curve in a Riemannian space into a Minkowski space

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References
15
[1]
é. Cartan, Spaces of Affine, Projective or Conformai Connection [Russian translation of a collection of articles], Kazansk. Univ., Kazan' (1962).
[2]
S. Kobayashi, Transformation Groups in Differential Geometry [Russian translation], Nauka, Moscow (1986).
[3]
Yu. G. Reshetnyak, Stability Theorems in Geometry and Analysis [in Russian], Nauka, Novosibirsk (1982).
[4]
I. G. Nikolaev and S. Z. Shefel', “Differential properties of mappings conformal at a point,” Sibirsk. Mat. Zh.,27, No. 1, 132–142 (1986).
[5]
V. V. Slavskii, “Conformally flat metrics and pseudo-Euclidean geometry,” Sibirsk. Mat. Zh.,35, No. 3, 674–682 (1994).
[6]
é. Cartan, Theory of Finite Continuous Groups and Differential Geometry Exposed by Means of the Moving Frame Method [Russian translation of two courses of lectures], Moscow Univ., Moscow (1963).
[7]
P. Griffiths, “On the Cartan method of Lie groups and moving frames as applied to existence and uniqueness questions in differential geometry,” Duke Math. J.,41, 775–814 (1974). 10.1215/s0012-7094-74-04180-5
[8]
é. Cartan, Geometry of Riemannian Spaces [Russian translation], ONTI, Moscow (1936).
[9]
A. L. Besse, Einstein Manifolds. Vol. 1 [Russian translation], Mir, Moscow (1990).
[10]
M. A. Akivis and V. V. Konnov, “Some local aspects of the theory of conformal structures,” Uspekhi Mat. Nauk,48, No. 1, 3–40 (1993).
[11]
H. Weyl, Gravitation und Elektrizitât, S.-B. Preuss. Akad. Wiss., Berlin, 1918, pp. 465–480.
[12]
G. B. Folland, “Weyl manifolds,” J. Differential Geom.,4, 145–153 (1970). 10.4310/jdg/1214429379
[13]
Yu. G. Reshetnyak, “On the concept of a lift of an irregular path in a fiber bundle and its applications,” Sibirsk. Mat. Zh.,16, No. 3, 588–598 (1975).
[14]
S. Sternberg, Lectures on Differential Geometry [Russian translation], Mir, Moscow (1970).
[15]
A. L. Besse, Einstein Manifolds. Vol. 2 [Russian translation], Mir, Moscow, pp. 315–703 (1990).
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Published
May 01, 1996
Vol/Issue
37(3)
Pages
591-613
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V. V. Slavskii (1996). Conformal development of a curve in a Riemannian space into a Minkowski space. Siberian Mathematical Journal, 37(3), 591-613. https://doi.org/10.1007/bf02104861