The Natural Lift Curve and Geodesic Sprays in Euclidean 4-Space

Authors

  • Mustafa Bilici Ondokuz Mayıs University, 55200 Kurupelit, Samsun, Turkey
  • Evren ERGUN Ondokuz Mayis University CarSamba Chamber of Commerce Vocational School, 55500 Carsamba,Sam sun, Turkey.
  • Mustafa Calisken Gazi University, Ankara, Turkey.

DOI:

https://doi.org/10.24297/jam.v5i1.3668

Keywords:

Natural Lift, Geodesic Spray

Abstract

In this work, we presented the natural lift curves of the spherical indicatrices of a curve in E4. Also, some interesting results about the original curve were obtained depending on the assumption that the natural lift curves should be the integral curve of the geodesic spray on the tangent bundle T(S2 ).

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Author Biographies

Mustafa Bilici, Ondokuz Mayıs University, 55200 Kurupelit, Samsun, Turkey

Educational Faculty, Department of Mathematics

Mustafa Calisken, Gazi University, Ankara, Turkey.

Faculty of Sciences, Department of Mathematics

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Published

2013-12-14

How to Cite

Bilici, M., ERGUN, E., & Calisken, M. (2013). The Natural Lift Curve and Geodesic Sprays in Euclidean 4-Space. JOURNAL OF ADVANCES IN MATHEMATICS, 5(1), 570–574. https://doi.org/10.24297/jam.v5i1.3668

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Section

Articles