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Yıl 1998, Cilt: 47 , 0 - 0, 01.01.1998
https://doi.org/10.1501/Commua1_0000000404

Öz

Kaynakça

  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi

On general helices and pseudo-riemannian manifolds

Yıl 1998, Cilt: 47 , 0 - 0, 01.01.1998
https://doi.org/10.1501/Commua1_0000000404

Öz

In a Riemannian manifold, a regular curve is called a general helix if is constant and its firs and second curvatures are not constant [4]. İf its First and second curvatures are constant the third curvature is zero then the regular curve is called helix. For helices in a Lorentzian manifold, there is a research of T. Ikawa, who investigated and obtained the differential equation;
D D D X = KD X , (K = a - p5
XXX X
fOT the drcular helix which corresponds to the case that the curvatures a and P of the timelike curve c(t) on the Lorentzian manifold M are constant [3], Later, N. Ekmekçi and H.H. HacısaUhoğlu obtained the differential equation I\I\DxX = KD^K + 3a' D^Y ,
K = of + a2 P')
P
fcff the case of general helix [2]. Recently, T. Nakanishi [5] prove the following lemma about a helix in Pseudo-Riemannian manifold which is stated as, “A unit speed curve c in M is a helix if and only if there exist a constant X such that D D D X = XD X”
XXX X
a
îhis paper generalizes the lemma stated above lo the case of a general helix.

Kaynakça

  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Research Article
Yazarlar

N. Ekmekçi Bu kişi benim

Yayımlanma Tarihi 1 Ocak 1998
Gönderilme Tarihi 1 Ocak 1998
Yayımlandığı Sayı Yıl 1998 Cilt: 47

Kaynak Göster

APA Ekmekçi, N. (1998). On general helices and pseudo-riemannian manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 47. https://doi.org/10.1501/Commua1_0000000404
AMA Ekmekçi N. On general helices and pseudo-riemannian manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ocak 1998;47. doi:10.1501/Commua1_0000000404
Chicago Ekmekçi, N. “On General Helices and Pseudo-Riemannian Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 47, Ocak (Ocak 1998). https://doi.org/10.1501/Commua1_0000000404.
EndNote Ekmekçi N (01 Ocak 1998) On general helices and pseudo-riemannian manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 47
IEEE N. Ekmekçi, “On general helices and pseudo-riemannian manifolds”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 47, 1998, doi: 10.1501/Commua1_0000000404.
ISNAD Ekmekçi, N. “On General Helices and Pseudo-Riemannian Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 47 (Ocak 1998). https://doi.org/10.1501/Commua1_0000000404.
JAMA Ekmekçi N. On general helices and pseudo-riemannian manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1998;47. doi:10.1501/Commua1_0000000404.
MLA Ekmekçi, N. “On General Helices and Pseudo-Riemannian Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 47, 1998, doi:10.1501/Commua1_0000000404.
Vancouver Ekmekçi N. On general helices and pseudo-riemannian manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1998;47.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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