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Spacelike Ruled Surface In Hyperbolic 3-Space
Year 2018 ,
Volume: 39 Issue: 2, 314 - 324, 29.06.2018
Tuğba Mert
Abstract
In this paper in Hyperbolic space , we study a spacelike ruled surfaces. A spacelike ruled
surface in is acquired by a
spacelike geodesic moving along a spacelike curve. In this paper, we are
investigated developable ruled surface, striction point and striction curve of
ruled surface, dispersion parameter of ruled surface on Hyperbolic space .
References
[1] Turgut,A.,Hacısalihoğlu,H. Timelike ruled surface in the Minkowski 3-space, Far East J.Math.Sci.1997;5(1), 83-90.
[2] Turgut,A. Spacelike and Timelike Ruled Surface on the Minkowski 3-Space, Ph. D. Thesis, Ankara Univer-sity,1995.
[3] Sabuncuoğlu,A. Generelized Ruled Surface, Associ-ate Proffesorshiph Thesis, Ankara University,1982.
[4] Thas, C. A gauss map on hypersurfaces of sub-manıfolds ın Euclıdean spaces. J.Korean Math.Soc. 1979; 16, 17-27.
[5] O’Neill,B. Semi-Riemannian Geometry with Appli-cations to Relativity, Academic Press, New York, 1983.
[6] Fencel,W. Elementary Geometry in Hyperbolic Space, Walter de Gruyter, New York, 1989.
[7] Ratcliffe J. Foundations of Hyperbolic Manifolds, Springer,2000.
Year 2018 ,
Volume: 39 Issue: 2, 314 - 324, 29.06.2018
Tuğba Mert
References
[1] Turgut,A.,Hacısalihoğlu,H. Timelike ruled surface in the Minkowski 3-space, Far East J.Math.Sci.1997;5(1), 83-90.
[2] Turgut,A. Spacelike and Timelike Ruled Surface on the Minkowski 3-Space, Ph. D. Thesis, Ankara Univer-sity,1995.
[3] Sabuncuoğlu,A. Generelized Ruled Surface, Associ-ate Proffesorshiph Thesis, Ankara University,1982.
[4] Thas, C. A gauss map on hypersurfaces of sub-manıfolds ın Euclıdean spaces. J.Korean Math.Soc. 1979; 16, 17-27.
[5] O’Neill,B. Semi-Riemannian Geometry with Appli-cations to Relativity, Academic Press, New York, 1983.
[6] Fencel,W. Elementary Geometry in Hyperbolic Space, Walter de Gruyter, New York, 1989.
[7] Ratcliffe J. Foundations of Hyperbolic Manifolds, Springer,2000.
There are 7 citations in total.
Details
Primary Language
English
Journal Section
Natural Sciences
Authors
Tuğba Mert
Türkiye
Publication Date
June 29, 2018
Submission Date
January 25, 2018
Acceptance Date
April 30, 2018
Published in Issue
Year 2018Volume: 39 Issue: 2
Cite
APA
Mert, T. (2018). Spacelike Ruled Surface In Hyperbolic 3-Space. Cumhuriyet Science Journal, 39(2), 314-324. https://doi.org/10.17776/csj.383468