Literature Cited
V. A. Sharafutdinov, “A problem in integral geometry for tensor fields and the St. Venant equations,” Dokl. Akad. Nauk SSSR,261, No. 5, 1066–1069 (1981).
L. A. Santalo, Introduction to Integral Geometry [Russian translation], IL, Moscow (1956).
I. M. Gel'fand, M. I. Graev, and N. Ya. Vilenkin, Generalized Functions: Integral Geometry and Representation Theory, Academic Press (1966).
Yu. E. Anikonov and V. G. Romanov, “Unique determination of a 1-form in terms of its integrals along geodesics,” in: Ill-Posed Mathematical Problems and Topics in Geophysics [in Russian], Novosibirsk (1979), pp 22–27.
M. I. Muskhelishvili, Some Fundamental Problems in the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).
P. K. Rashevskii, Riemannian Geometry and Tensor Analysis [in Russian], Nauka, Moscow (1967).
V. I. Smirnov, A Course of Higher Mathematics, Vol. 2, Pergamon (1964).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 24, No. 6, pp. 176–187, Novmeber–December, 1983.
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Sharafutdinov, V.A. A problem of integral geometry for tensor fields and the St. Venant equation. Sib Math J 24, 968–977 (1983). https://doi.org/10.1007/BF00970323
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DOI: https://doi.org/10.1007/BF00970323