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Journal
Acta Physica Polonica A
2016
|
130
|
1
| 259-261
Article title
Pseudo-Spherical Null Quaternionic Curves in Minkowski Space R₁⁴
Authors
A. Tuna Aksoy
Content
Full texts:
Title variants
Languages of publication
EN
Abstracts
EN
In this study, we define the osculating pseudo-sphere of a null quaternionic Cartan curve in Minkowski space R₁⁴. We give a characterization for pseudo-spherical null quaternionic Cartan curves.
Keywords
EN
02.40.k
02.40.Hw
Discipline
02.40.Hw: Classical differential geometry
Publisher
Institute of Physics, Polish Academy of Sciences
Journal
Acta Physica Polonica A
Year
2016
Volume
130
Issue
1
Pages
259-261
Physical description
Dates
published
2016-07
Contributors
author
A. Tuna Aksoy
Süleyman Demirel University, Department of Mathematics, Isparta, Turkey
References
[1] W.B. Bonnor, Tensor N.S. 20, 229 (1969)
[2] K.L. Duggal, D.H. Jin, Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific Publishing, 2007, p. 83
[3] A. Bejancu, Publ. Math. Debrecen 44, 145 (1994)
[4] A.C. Çöken, Ü. Çiftçi, Geometriae Dedicata 114, 71 (2005), doi: 10.1007/s10711-005-4804-1
[5] M. Sakaki, Turk. J. Math. 34, 417 (2010), doi: 10.3906/mat-0812-14
[6] K. Bharathi, M. Nagaraj, Indian J. Pure Appl. Math. 18, 507 (1987)
[7] A.C. Çöken, A. Tuna, Appl. Math. Comp. 155, 373 (2004), doi: 10.1016/S0096-3003(03)00783-5
[8] A. Tuna Aksoy, A.C. Çöken, Acta Phys. Pol. A 128, B-286 (2015), doi: 10.12693/APhysPolA.128.B-286
[9] Ö. Bektaş, N. Bayrak Gürses, S. Yüce, E. J. Pure App. Math 7.1, 86 (2014)
[10] B.O. Neill, Semi-Riemannian geometry with applications to relativity, Academic Press, New York 1983
[11] M.P. Torgasev, E. Sucurovi, Matematicheskii Vestnik 53, 21 (2001)
Document Type
Publication order reference
Identifiers
DOI
10.12693/APhysPolA.130.259
YADDA identifier
bwmeta1.element.bwnjournal-article-appv130n1067kz
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