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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Publisher
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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Keywords
Weyl space, Ricci curve, Chebyshev nets, Geodesic net
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0
WoS Q
N/A
Scopus Q
Q3
Source
Volume
153
Issue
Start Page
350
End Page
358