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

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Date
2005
Author
Yıldırım, Gülçin Çivi
Özdeǧer, Abdülkadir
Abstract
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.

Source

Topology And Its Applications

Volume

153

Pages

350-358

URI

https://hdl.handle.net/20.500.12469/121
https://dx.doi.org/10.1016/j.topol.2003.05.011

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  • Araştırma Çıktıları / Scopus [1345]
  • Araştırma Çıktıları / WOS [1335]
  • Endüstri Mühendisliği / Industrial Engineering [124]

Keywords

Weyl space
Ricci curve
Chebyshev nets
Geodesic net

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