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S. G. Leiko 《Journal of Mathematical Sciences》1998,90(2):1941-1944
A mapping ρ:
of two Riemannian or pseudo-Riemannian spaces is called aspin mapping if for each geodesic curve γ in Mn its image ρoγ is a spin-curve in the space
. In gravitational fields spin-curves describe the trajectories of uniformly accelerated particles of constant mass with simultaneous
self-rotation. We prove: 1) a conformal mapping is a spin mapping only when it is concircular; 2) every conformal mapping
of Einstein space is a spin mapping. The latter makes it possible to give a local representation of the metrics of all gravitational
fields that admit spin mappings.
Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 2, 1997, pp. 44–47. Original article submitted March 17, 1993. 相似文献
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We present a variational generalization of the problem of infinitesimal geodesic deformations of surfaces in the Euclidean space E
3. By virtue of rotary deformation, the image of every geodesic curve is an isoperimetric extremal of rotation (in the principal approximation). The results are associated in detail with rotary-conformal deformations. The application of these results to the mechanics of elastic shells is given. 相似文献
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S. G. Leiko 《Mathematical Notes》1990,47(3):261-264
Translated from Matematicheskie Zametki, Vol. 47, No. 3, pp. 52–57, March, 1990. 相似文献
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S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine. Translated from Prikladnaya Mekhanika, Vol. 30, No. 6, pp. 33–41, June, 1994. 相似文献
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S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 31, No. 3, pp. 66–75, March, 1995. 相似文献
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We study processes developing when a cylindrical piezoceramic shell with split electrodes located near a planar boundary is
excited by nonsteady-state electrical signals. We solve the problem using the Laplace integral transform with respect to time.
The boundary conditions are satisfied in the space of the originals. Under these conditions, the unknowns are found from a
system of Volterra integral equations. We present the calculation results and their analysis.
Translated from Prikladnaya Mekhanika, Vol. 33. No. 12, pp. 60–67, December, 1997. 相似文献
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