SOME RELATIONS BETWEEN NORMAL AND RECTIFYING CURVES IN MINKOWSKI SPACE-TIME
Year 2014,
, 26 - 35, 30.04.2014
Kazim İlarslan
,
Emilija Nešovıć
Abstract
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)
References
- [1] Bonnor, W. B., Null curves in a Minkowski space-time, Tensor 20, 229-242, 1969.
- [2] Bonnor, W. B., Curves with null normals in Minkowski space-time (A random walk in rela- tivity
and cosmology, Wiley Easten Limitid 33-47, 1985)
- [3] Chen, B. Y., When does the position vector of a space curve always lie in its rectifying
plane?, Amer. Math. Monthly 110, 147-152, 2003.
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Math. Acad. Sinica 33(2), 77-90, 2005.
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Publ. Inst. Math. Belgrade 85 (99), 111-118, 2009.
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curves in the Minkowski 3-space, Novi Sad J. Math. 33(2), 23-32, 2003.
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York, 1983).
- [8] Otsuki, T., Differential Geometry, (In Japanese, Asakura Publishing Co. Ltd., 1961).
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Math. 32(2), 55-65, 2002.
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Science, Leuven, 1995).
Year 2014,
, 26 - 35, 30.04.2014
Kazim İlarslan
,
Emilija Nešovıć
References
- [1] Bonnor, W. B., Null curves in a Minkowski space-time, Tensor 20, 229-242, 1969.
- [2] Bonnor, W. B., Curves with null normals in Minkowski space-time (A random walk in rela- tivity
and cosmology, Wiley Easten Limitid 33-47, 1985)
- [3] Chen, B. Y., When does the position vector of a space curve always lie in its rectifying
plane?, Amer. Math. Monthly 110, 147-152, 2003.
- [4] Chen, B.Y. and Dillen F., Rectifying curves as centrodes and extremal curves, Bull. Inst.
Math. Acad. Sinica 33(2), 77-90, 2005.
- [5] İlarslan, K and Nešović E., Spacelike and timelike normal curves in Minkowski space-time,
Publ. Inst. Math. Belgrade 85 (99), 111-118, 2009.
- [6] İlarslan, K., Nešović, E. and Petrović-Torgašev M., Some characterizations of rectifying
curves in the Minkowski 3-space, Novi Sad J. Math. 33(2), 23-32, 2003.
- [7] O’Neill, B., Semi–Riemannian geometry with applications to relativity (Academic Press, New
York, 1983).
- [8] Otsuki, T., Differential Geometry, (In Japanese, Asakura Publishing Co. Ltd., 1961).
- [9] Petrović-Torgašev, M. and Šućurović E., W-curves in Minkowski space-time, Novi Sad J.
Math. 32(2), 55-65, 2002.
- [10] Valrave, J., Curves and surfaces in Minkowski space (Doctoral thesis, K. U. Leuven, Fac. of
Science, Leuven, 1995).
There are 10 citations in total.