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

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Altin A.

UKRAINIAN MATHEMATICAL JOURNAL, vol.63, no.6, pp.969-976, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 6
  • Publication Date: 2011
  • Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.969-976
  • Hacettepe University Affiliated: Yes

Abstract

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