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G.F. Laptev's method in constructing the theory of curvature of locally homogeneous lines of neutral space
Dombrovsky Roman Fedorovych 1
1 Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: G.F. Laptev's method
Abstract

The theory of invariants-curvatures of local uniform spacelike lines of four-dimensioned neutral space was formed by analytic theory group method of G.F.Laptev.

References

[1] Finikov S.P. Cartan's Method of Exterior Forms. - M. Gostekhizdat, 1948.

[2] Laptev G.F. Differential Geometry of Immersed Manifolds. Group-Theoretical Method of Differential-Geometric Investigations // Proceedings of the Moscow Mat. Islands. – 1953. – N2. – P.275–382.

[3] Laptev G.F. Fundamental Infinitesimal Structures of Higher Orders on a Smooth Manifold // Proceedings of the Geomet. Seminar: Collection of Scientific Papers. Moscow: VINITI USSR Academy of Sciences. – 1. – 1966. – P.133–190.

[4] Ostianu N.M., Ryzhkov V.V., Shveikin P.I. Outline of Scientific Research by German Fedorovich Laptev // Proceedings of the Geomet. Seminar: Collection of Scientific Papers. tr. – M.: VINITI AN SSSR. – 4. – 1973. – P.7–70.

[5] Petrunyak O.M. On the properties of homogeneous lines of Minkovsky space // Materials of the student scientific conference of Chernivtsi State University. Book 2. – Chernivtsi: Ruta, 1998. – P. 102–103.

[6] Petrunyak O.M. Isotropic lines of $n$-dimensional Minkovsky space // Materials of the student scientific conference of Chernivtsi University. Book 3. Physical and mathematical sciences. – Chernivtsi: Ruta, 1999. – P. 32–33.

[7] Dombrovskyi R.F., Mudryak N.A. Differential-geometric characteristic of helical lines of Minkowski space // Materials of the interuniversity regional scientific conference "Mathematics, its application and teaching".–Kirovograd: RVGITS of the Kyiv Polytechnic University named after V. Vinnychenko, 1999. – P.29–31.

[8] Dombrovsky R.F., Kyrnytska N.F. On one property of the field of normals of a line of quasiquaternion space // Abstracts of the VIII international scientific conference named after Acad. M. Kravchuk. – Kyiv: Kyiv Polytechnic University, 2000. – P.273.

[9] Dombrovsky R.F., Mironik V.I., Osadtsa I.S. Fundamental objects and curvature of locally homogeneous timelike lines of neutral space // Proceedings of the International School-Seminar on Geometry and Analysis, dedicated to the 90th anniversary of N.V. Efimov. – Abrau-Dyurso: Moscow State University named after M.V. Lomonosov and Rostov University, 2000. – P.49–51.

[10] Dombrovskyi R.F., Yurochko O.M. Differential geometry of homogeneous lines of $n$-dimensional Minkowski space // Boundary-value problems for differential equations: Collection of scientific works–K.: Institute of Mathematics of the NAS of Ukraine, 2000.–Issue 5.–P.108–125.

Cite
ACS Style
Dombrovsky , R.F. G.F. Laptev's method in constructing the theory of curvature of locally homogeneous lines of neutral space. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Dombrovsky RF. G.F. Laptev's method in constructing the theory of curvature of locally homogeneous lines of neutral space. Bukovinian Mathematical Journal. 2018; 1(111).
Chicago/Turabian Style
Roman Fedorovych Dombrovsky . 2018. "G.F. Laptev's method in constructing the theory of curvature of locally homogeneous lines of neutral space". Bukovinian Mathematical Journal. 1 no. 111.
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