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

Gülçin Çivi Yildirim*, Abdülkadir Özdeǧer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, Ricci curves in a 3-dimensional Weyl space W3 (g, T) are defined and it is shown that any 3-dimensional Chebyshev net formed by the three families of Ricci curves in a W3(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 an indefinite Ricci tensor, only one of the members of the geodesic subnet under consideration has a vanishing second curvature.

Original languageEnglish
Pages (from-to)350-358
Number of pages9
JournalTopology and its Applications
Volume153
Issue number2-3 SPEC. ISS.
DOIs
Publication statusPublished - 1 Sept 2005

Keywords

  • Chebyshev net
  • Geodesic net
  • Ricci curve
  • Weyl space

Fingerprint

Dive into the research topics of 'Chebyshev nets formed by Ricci curves in a 3-dimensional Weyl space'. Together they form a unique fingerprint.

Cite this