Zobrazeno 1 - 10 of 13 pro vyhledávání: '"EMILIJA NESOVIC"'
1
Akademický článek
On Pseudospherical Smarandache Curves in Minkowski 3-Space
Autor: Esra Betul Koc Ozturk, Ufuk Ozturk, Kazim Ilarslan, Emilija Nešović
Publikováno v: Journal of Applied Mathematics, Vol 2014 (2014)
In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions for the Sabban frame’s v
Externí odkaz: https://doaj.org/article/5aa6b71037f64acfbef5c0613cf8db02
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2
Akademický článek
On Pseudohyperbolical Smarandache Curves in Minkowski 3-Space
Autor: Esra Betul Koc Ozturk, Ufuk Ozturk, Kazim İlarslan, Emilija Nešović
Publikováno v: International Journal of Mathematics and Mathematical Sciences, Vol 2013 (2013)
We define pseudohyperbolical Smarandache curves according to the Sabban frame in Minkowski 3-space. We obtain the geodesic curvatures and the expression for the Sabban frame vectors of special pseudohyperbolic Smarandache curves. Finally, we give som
Externí odkaz: https://doaj.org/article/238f25699a7e494c949b6653ea5ea5b9
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4
On non-null relatively normal-slant helices in Minkowski 3-space
Autor: Emilija Nesovic, Ufuk Öztürk, Öztürk Koç
Publikováno v: Filomat. 36:2051-2062
By using the Darboux frame |?, ?, ?| of a non-null curve lying on a timelike surface in Minkowski 3-space, where ? is the unit tangent vector of the curve, ? is the unit spacelike normal vector field restricted to the curve and ? = ?? ? ?, we define
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7aa41c15fcde0f54cad572a35e2a5606
https://doi.org/10.2298/fil2206051n
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5
On k-type spacelike slant helices lying on lightlike surfaces
Autor: Ufuk Öztürk, Esra B. Koç Öztürk, Emilija Nešović, Emilija Nesovic
Publikováno v: Filomat. 33:2781-2796
In this paper, we define k-type spacelike slant helices lying on a lightlike surface in Minkowski space E31 according to their Darboux frame for k ? {0,1,2}. We obtain the necessary and the sufficient conditions for spacelike curves with non-null and
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::24d035e136d09eb675e749e8b8d8b329
https://doi.org/10.2298/fil1909781o
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7
On T-slant, N-slant and B-slant helices in pseudo-Galilean space G13
Autor: Ufuk Öztürk, Esra B. Koç Öztürk, Emilija Nešović, Emilija Nesovic
Publikováno v: Filomat. 32:245-253
In this paper, we introduce T-slant, N-slant and B-slant helices in the pseudo-Galilean space G13 and define an angle between the spacelike and the timelike isotropic vector lying in the pseudo-Euclidean plane x = 0. In particular, we obtain the expl
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::99ca10825bb3f8f2502883436bc98fe8
https://doi.org/10.2298/fil1801245o
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8
On Rotation About Lightlike Axis in Three-Dimensional Minkowski Space
Autor: Emilija Nešović, Emilija Nesovic
Publikováno v: Advances in Applied Clifford Algebras. 26:237-251
We obtain matrix of the rotation about arbitrary lightlike axis in three-dimensional Minkowski space by deriving the Rodrigues’ rotation formula and using the corresponding Cayley map. We prove that a unit timelike split quaternion q with a lightli
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::34ab56e14b5d8d029fd2f6422058eb5c
https://doi.org/10.1007/s00006-015-0601-6
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9
On Bäcklund transformation and vortex filament equation for null Cartan curve in Minkowski 3-space
Autor: Emilija Nešović, Emilija Nesovic, Milica Grbović
Publikováno v: Mathematical Physics, Analysis and Geometry. 19
In this paper we introduce Backlund transformation of a null Cartan curve in Minkowski 3-space as a transformation which maps a null Cartan helix to another null Cartan helix, congruent to the given one. We also give the sufficient conditions for a t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::38779a0a8550c4c98d78c91347c46014
https://doi.org/10.1007/s11040-016-9231-z
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10
On geometric interpretation of pseudo-angle in Minkowski plane
Autor: Emilija Nešović, Emilija Nesovic
Publikováno v: International Journal of Geometric Methods in Modern Physics. 14:1750068
In this paper, we introduce pseudo-perpendicular vectors in Minkowski plane and give geometric interpretations of the oriented pseudo-angles in terms of the hyperbolic arcs of finite hyperbolic lengths.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9acead94b46d71c055872c7ee6794910
https://doi.org/10.1142/s0219887817500682
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