Chebyshev Nets Formed by Ricci Curves in a 3-Dimensional Weyl Space

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Date

2005

Authors

Yıldırım, Gülçin Çivi
Özdeğer, Abdülkadir

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Elsevier Science Bv

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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.

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Weyl space, Ricci curve, Chebyshev nets, Geodesic net

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0

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Scopus Q

Q3

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Volume

153

Issue

Start Page

350

End Page

358