ON THE ENERGY AND PSEUDOANGLE OF FRENET VECTOR FIELDS IN R-upsilon(n)


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Altin A.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.63, sa.6, ss.969-976, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 6
  • Basım Tarihi: 2011
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.969-976
  • Hacettepe Üniversitesi Adresli: Evet

Özet

We compute the energy of a Frenet vector field and the pseudoangle between Frenet vectors for a given non-null curve C in a semi-Euclidean space of signature. (n, nu). It is shown that the energy and pseudoangle can be expressed in terms of the curvature functions of C