A New Approach on Helices in Pseudo-Riemannian Manifolds

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Ziplar E., YAYLI Y., GÖK İ.

ABSTRACT AND APPLIED ANALYSIS, cilt.2014, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2014
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1155/2014/718726
  • Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ankara Üniversitesi Adresli: Evet

Özet

A proper curve alpha in the n-dimensional pseudo-Riemannian manifold (M, g) is called a V-n-slant helix if the function (V-n, X) is a nonzero constant along alpha, where X is a parallel vector field along alpha and V-n is nth Frenet frame. In this work, we study such curves and give important characterizations about them.