Research Article

GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES

Volume: 12 Number: 1 August 5, 2019
TR

GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES

Abstract

In this paper the well-known properties of helices in Euclidian 3-space are extended to n-dimensional Riemann-Otsuki space. We define the infinitesimal deformations of curves in Riemann-Otsuki space and obtain the condition such that the given deformation of a curve defines a generalized Helix in this space. 

Keywords

References

  1. HAYDEN, H.A., 1931, Deformation of a curve in a Riemannian n-space which displace certain vectors parallelly at each point, Proc. London Math. Soc. (2), 32, 321-336.
  2. OTSUKI, T., 1958, Tangent Bundles of Order 2 and General Connections, Math. J.Okayama Univ., 8, 143-179.
  3. OTSUKI, T., 1960, On General Connections I, Math. J. Okayama Univ., 9, 99-164.
  4. OTSUKI, T., 1961, On General Connections II, Math. J. Okayama Univ., 10, 113-124
  5. Nadj, Dj.F.,1981, On Subspaces of Riemann-Otsuki Space, Publ. de l’Inst. MathBeograd, 30 (44), 53-58
  6. Nadj, Dj.F.,1981, On the Orthogonal Spaces of the Subspaces of a Riemann-OtsukiSpace , Zbornik Radova PMF Novi Sad, 11, 201-208
  7. MOOR, A., 1978, Otsukische Übertragung mit Rekurrentem Masstensor, Acta Sci.Math., 40, 129-142.
  8. MOOR, A., 1979, Über die Veranderung der Lange der Vektoren in Weyl-Otsukischen Raumen, Acta Sci. Math., 41, 173-185

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Jeta Alo *
Türkiye

Publication Date

August 5, 2019

Submission Date

May 7, 2019

Acceptance Date

June 20, 2019

Published in Issue

Year 2019 Volume: 12 Number: 1

APA
Alo, J. (2019). GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 12(1), 6-11. https://doi.org/10.20854/bujse.561471
AMA
1.Alo J. GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES. BUJSE. 2019;12(1):6-11. doi:10.20854/bujse.561471
Chicago
Alo, Jeta. 2019. “GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 12 (1): 6-11. https://doi.org/10.20854/bujse.561471.
EndNote
Alo J (August 1, 2019) GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 12 1 6–11.
IEEE
[1]J. Alo, “GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES”, BUJSE, vol. 12, no. 1, pp. 6–11, Aug. 2019, doi: 10.20854/bujse.561471.
ISNAD
Alo, Jeta. “GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES”. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 12/1 (August 1, 2019): 6-11. https://doi.org/10.20854/bujse.561471.
JAMA
1.Alo J. GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES. BUJSE. 2019;12:6–11.
MLA
Alo, Jeta. “GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 12, no. 1, Aug. 2019, pp. 6-11, doi:10.20854/bujse.561471.
Vancouver
1.Jeta Alo. GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES. BUJSE. 2019 Aug. 1;12(1):6-11. doi:10.20854/bujse.561471

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