Chebyshev nets formed by Ricci curves in a 3-dimensional Weyl space

Yildirim G., Ozdeger A.

TOPOLOGY AND ITS APPLICATIONS, cilt.153, ss.350-358, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 153
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.topol.2003.05.011
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.350-358
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

In this paper, Ricci curves in a 3-dimensional Weyl space W-3(g, T) are defined and it is shown that any 3-dimensional Chebyshev net formed by the three families of Ricci curves in a W-3(g, T) having a definite metric and Ricci tensors is either a geodesic net or it consists of a geodesic subnet the members of which have vanishing second curvatures. In the case of in indefinite Ricci tensor, only one of the members of the geodesic subnet under consideration has a vanishing second curvature. (c) 2004 Elsevier B.V. All rights reserved.