Abstract.
α-proportional and proportional nets in n-dimensional Weyl space Wn and Riemannian space Vn are introduced. The fundamental forms of the spaces Wn and Vn in the parameters of the α-proportional and proportional nets are found. The theorem - Weyl space \( W_n, n>2 \) which contains a proportional net is Riemannian Vn - is proved.
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Received 18 February 1999.
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Tsareva, B., Zlatanov, G. Proportional nets in Weyl spaces. J.Geom. 71, 192–196 (2001). https://doi.org/10.1007/s00022-001-8562-4
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DOI: https://doi.org/10.1007/s00022-001-8562-4