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GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES

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

Öz

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. 

Kaynakça

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

Öz

Kaynakça

  • 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.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Jeta Alo

Yayımlanma Tarihi 5 Ağustos 2019
Yayımlandığı Sayı Yıl 2019

Kaynak Göster

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. Ağustos 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, sy. 1 (Ağustos 2019): 6-11. https://doi.org/10.20854/bujse.561471.
EndNote Alo J (01 Ağustos 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, c. 12, sy. 1, ss. 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 (Ağustos 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, c. 12, sy. 1, 2019, ss. 6-11, doi:10.20854/bujse.561471.
Vancouver Alo J. GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES. BUJSE. 2019;12(1):6-11.