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Isotropic lines of neutral space
Myronyk Vadym 1
1 Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: isotropic lines
Abstract

The differential geometry of some classes of isotrope lines is built in a four-dimensioned neutral space.

References

[1] 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 – Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine, 2000. – Issue 5. – P.108 – 125.

[2] Dombrovsky R.F., Mudryak N.A., Yurochko O.M. Some properties of isotropic curves of Minkowski space // Proc. of the International Conf. "Invariant Methods of Investigation on Manifolds of Structures of Geometry, Analysis and Mathematical Physics", dedicated to the 90th anniversary of the birth of G.F. Laptev. - Moscow: Moscow State University named after M.V. Lomonosov, 1999. - P. 47-51.

[3] 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.

[4] Dombrovskyi R.F., Kats D.M. Some questions of the geometry of lines of a four-dimensional pseudo-Euclidean space of index 3 with an invariant isotropic vector field // Integral transformations and their application to boundary value problems: Collection of scientific works – Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine, 1996. – Issue 13. – P.45–51.

[5] Dombrovskyi R.F., Kats D.M. The sign of geodesicity of an isotropic line in pseudo-Euclidean space with an invariant isotropic vector field // Abstracts of the V International Scientific Conference named after Acad. M. Kravchuk. – Kyiv: KTU, 1996. – P.129.

[6] 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. Lomonosov Moscow State University and Rostov University. Rostov-on-Don: Abrau-Dyurso, 2000. – P.18–20.

Cite
ACS Style
Myronyk, V. Isotropic lines of neutral space. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Myronyk V. Isotropic lines of neutral space. Bukovinian Mathematical Journal. 2018; 1(111).
Chicago/Turabian Style
Vadym Myronyk. 2018. "Isotropic lines of neutral space". Bukovinian Mathematical Journal. 1 no. 111.
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