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Year 2015, Volume: 4 Issue: 1, 12 - 20, 16.06.2015

Mehdi Jafari Yusuf Yaylı

https://doi.org/10.17798/beufen.85238

Abstract

In this paper, first the generalized E. Study mapping is defined for the lines in 3-space ℝ. Then, the E. Study map of circle which lie on the dual elliptical unit sphere È at the dual spaceDis studied. Furthermore, some special case is examined, each of which is a geometrical result

Keywords

Dual elliptical unit sphere generalized inner product inclined congruence

References

  • Guggenheimer H.W. 1963. Differential Geometry, McGraw-Hill book company, New York.
  • Hacısalihoğlu H.H. 1977. Study map of a circle, Journal of the Faculty of science of Karadeniz Technical university 1 (7): 69-80.
  • Kotel’nikov A.P.1895. Vintovoe Schislenie i Nikotoriya Prilozheniye evo k geometrie i mechaniki, Kazan.
  • Uğurlu H.H., Çalışkan A. 1996. The Study Mapping for Directed Space-Like and Time-Like in Minkowski 3-space ℝ₁³. Mathematical & Computational App., 1:142-148.
  • Study E. 1903. Die Geometrie der Dynamen, Verlag Teubner, Leipzig.
  • Yaylı Y., Çalışkan A., Uğurlu H.H. 2002. The E. Study map of circles on dual hyperbolic and Lorentzian unit sphere and , Math. Proceedings of the Royal Irish Academy, 102 (1) 37-47.

Dual Eliptik Birim Küre È𝑫 𝟐 Üzerindeki Çemberin E.Study Dönüşümü

Year 2015, Volume: 4 Issue: 1, 12 - 20, 16.06.2015

Mehdi Jafari Yusuf Yaylı

https://doi.org/10.17798/beufen.85238

Abstract

Bu çalışmada, ilk olarak genelleştirilmiş E.Study dönüşümü üç boyutlu  uzayındaki doğrular için tanımlandı. Sonra,  dual uzayındaki birim dual eliptik küre  üzerinde ki çemberin E.Study dönüşümü incelendi. Ayrıca, herbiri bir geometrik sonuç olan bazı özel durumlar araştırıldı.

Keywords

Dual eliptik birim küre genelleştirilmiş iç çarpım eğimli kongruans

References

  • Guggenheimer H.W. 1963. Differential Geometry, McGraw-Hill book company, New York.
  • Hacısalihoğlu H.H. 1977. Study map of a circle, Journal of the Faculty of science of Karadeniz Technical university 1 (7): 69-80.
  • Kotel’nikov A.P.1895. Vintovoe Schislenie i Nikotoriya Prilozheniye evo k geometrie i mechaniki, Kazan.
  • Uğurlu H.H., Çalışkan A. 1996. The Study Mapping for Directed Space-Like and Time-Like in Minkowski 3-space ℝ₁³. Mathematical & Computational App., 1:142-148.
  • Study E. 1903. Die Geometrie der Dynamen, Verlag Teubner, Leipzig.
  • Yaylı Y., Çalışkan A., Uğurlu H.H. 2002. The E. Study map of circles on dual hyperbolic and Lorentzian unit sphere and , Math. Proceedings of the Royal Irish Academy, 102 (1) 37-47.
There are 6 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

Mehdi Jafari This is me

Yusuf Yaylı

Publication Date June 16, 2015
Submission Date June 16, 2015
Published in Issue Year 2015 Volume: 4 Issue: 1

Cite

IEEE M. Jafari and Y. Yaylı, “Dual Eliptik Birim Küre È𝑫 𝟐 Üzerindeki Çemberin E.Study Dönüşümü”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 4, no. 1, pp. 12–20, 2015, doi: 10.17798/beufen.85238.
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