Focal representation of k-slant Helices in Em+1

Ozturk G., BULCA B., Bayram B., ARSLAN K.

ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, cilt.7, sa.2, ss.200-209, 2015 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1515/ausm-2015-0013
  • Dergi Adı: ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.200-209
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The focal representation of a generic regular curve gamma in Em+1 consists of the centers of the osculating hyperplanes. A k-slant helix gamma in Em+1 is a (generic) regular curve whose unit normal vector V-k makes a constant angle with a fixed direction (U) over right arrow in Em+1. In the present paper we proved that if gamma is a k-slant helix in Em+1, then the focal representation C-gamma of gamma in Em+1 is an (m - k + 2)-slant helix in Em+1.