Research Article
BibTex RIS Cite

GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES

Year 2019, , 6 - 11, 05.08.2019
https://doi.org/10.20854/bujse.561471

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. 

References

  • 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.
  • OTSUKI, T., 1958, Tangent Bundles of Order 2 and General Connections, Math. J.Okayama Univ., 8, 143-179.
  • OTSUKI, T., 1960, On General Connections I, Math. J. Okayama Univ., 9, 99-164.
  • OTSUKI, T., 1961, On General Connections II, Math. J. Okayama Univ., 10, 113-124
  • Nadj, Dj.F.,1981, On Subspaces of Riemann-Otsuki Space, Publ. de l’Inst. MathBeograd, 30 (44), 53-58
  • Nadj, Dj.F.,1981, On the Orthogonal Spaces of the Subspaces of a Riemann-OtsukiSpace , Zbornik Radova PMF Novi Sad, 11, 201-208
  • MOOR, A., 1978, Otsukische Übertragung mit Rekurrentem Masstensor, Acta Sci.Math., 40, 129-142.
  • MOOR, A., 1979, Über die Veranderung der Lange der Vektoren in Weyl-Otsukischen Raumen, Acta Sci. Math., 41, 173-185
  • NADJ, Dj.F., 1986 The Frenet Formula of Riemann-Otsuki space, Zbornik RadovaPMF Novi Sad, 16, (1), 95-106.
  • YANO, K., ADATI, T., 1944, Paralel tangent deformations, concircular transformation and concurrent vector field, Proc. Imp. Acad., 20, No3, 123-127
  • YANO, K.,Kazuo, T., Yasuro, T.,1948, On infinitesimal deformations of curves inspaces with linear connection, Jap, J, Math., Volume 19, 433-477.
Year 2019, , 6 - 11, 05.08.2019
https://doi.org/10.20854/bujse.561471

Abstract

References

  • 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.
  • OTSUKI, T., 1958, Tangent Bundles of Order 2 and General Connections, Math. J.Okayama Univ., 8, 143-179.
  • OTSUKI, T., 1960, On General Connections I, Math. J. Okayama Univ., 9, 99-164.
  • OTSUKI, T., 1961, On General Connections II, Math. J. Okayama Univ., 10, 113-124
  • Nadj, Dj.F.,1981, On Subspaces of Riemann-Otsuki Space, Publ. de l’Inst. MathBeograd, 30 (44), 53-58
  • Nadj, Dj.F.,1981, On the Orthogonal Spaces of the Subspaces of a Riemann-OtsukiSpace , Zbornik Radova PMF Novi Sad, 11, 201-208
  • MOOR, A., 1978, Otsukische Übertragung mit Rekurrentem Masstensor, Acta Sci.Math., 40, 129-142.
  • MOOR, A., 1979, Über die Veranderung der Lange der Vektoren in Weyl-Otsukischen Raumen, Acta Sci. Math., 41, 173-185
  • NADJ, Dj.F., 1986 The Frenet Formula of Riemann-Otsuki space, Zbornik RadovaPMF Novi Sad, 16, (1), 95-106.
  • YANO, K., ADATI, T., 1944, Paralel tangent deformations, concircular transformation and concurrent vector field, Proc. Imp. Acad., 20, No3, 123-127
  • YANO, K.,Kazuo, T., Yasuro, T.,1948, On infinitesimal deformations of curves inspaces with linear connection, Jap, J, Math., Volume 19, 433-477.
There are 11 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Jeta Alo

Publication Date August 5, 2019
Published in Issue Year 2019

Cite

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