The continuous differentiable isotropic vector field is investigated in dot real four-dimensioned pseudoeuclidean space $ε_{3, 4}$ of index $3$. The tensor characteristic of all six type of isotropic vector fields is obtained.
[1] Ostianu NM, Ryzhkov VV, Shveykin PI Essay on scientific research of German Fedorovich Laptev // Proceedings of the Geometer. seminar: Sat. scientific. tr. - M.: VINITI AN USSR. - 4.- 1973. - S.7-70.
[2] 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: 3b. scientific. pr.- K.: Inst. of Mathematics of the NAS of Ukraine, 1996. - Issue 13. - P.45-51.
[3] Dombrovskyi R.F., Kats D.M. On the geometry of an isotropic vector field of a pseudo-Euclidean space // Materials of the scientific. conference of teachers, collaborators, and students, dedicated to the 120th anniversary of the foundation of Chernivtsi University. - Chernivtsi: Ruta, 1995. - Vol.2. - P.86.
[4] Dombrovskyi Roman, Kats David. 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.
[5] 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.33-34.
[6] Dombrovsky R.F., Yurochko O.M. Differential geometry of homogeneous lines of $n$-dimensional Minkowski space // Boundary-value problems for differential equations: 3b. nauk, pr. - K.: Institute of Mathematics of the NAS of Ukraine, 2000. - Issue 5. - P.108-125.
[7] Dombrovsky R.F. G.F. Lantev's method in constructing the theory of curvature of locally homogeneous lines of neutral space // Scientific Bulletin of Chernivtsi University: 3b. nauk. pr. Issue 111. Mathematics. - Chernivtsi: Ruta. 2001. - P.34-10.
[8] Favar J. A course in buccal differential geometry. - M.: Izd-vo inostr. lit-ry. 1960. - 559 p.
- ACS Style
- Dombrovsky , R.F.; Katz , D.M. Types of isotropic continuously differentiable vector fields of pseudo-Euclidean space. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Dombrovsky RF, Katz DM. Types of isotropic continuously differentiable vector fields of pseudo-Euclidean space. Bukovinian Mathematical Journal. 2018; 1(160).
- Chicago/Turabian Style
- Roman Fedorovych Dombrovsky , D. M. Katz . 2018. "Types of isotropic continuously differentiable vector fields of pseudo-Euclidean space". Bukovinian Mathematical Journal. 1 no. 160.