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References (4)
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G. Zlatanov (1988)
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Bistra Tsareva, G. Zlatanov (1990)
On the geometry of the nets in the n-dimensional space of WeylJournal of Geometry, 38
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A. Liber (1974)
On Chebyshev nets and Chebyshev spacesProceedings of Sem. Vect. and Tens. Anal., 17
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S. Uysal, A. Özdeğer (1994)
On the Chebyshev nets in a hypersurface of a Weyl spaceJournal of Geometry, 51
- Publisher
- Springer Journals
- Copyright
- Copyright © Università degli Studi di Ferrara 1999
- ISSN
- 0430-3202
- eISSN
- 1827-1510
- DOI
- 10.1007/bf02825951
- Publisher site
- See Article on Publisher Site
Abstract
Let the surfaceWm⊂Wn be metrically equipped by a normal planeRn−m. A correspondence between the nets belonging toWm andWn is established. Relations between the coefficients of the derivation equations for the fields of directions of the corresponding nets are found. The apparatus for studying the connection between the properties of the corresponding nets is constructed. The influence of the choice that the net belonging toWm be Chebyshev of the first kind or geodesic or c-net on the corresponding net belonging toWn is investigated and the results are formulated in theorems 2.6, 2.9, 2.10, 2.11, 2.12 being a generalization of the results received in [2].
Journal
ANNALI DELL UNIVERSITA DI FERRARA – Springer Journals
Published: Jan 1, 1999
Keywords: Normal Space; Normal Plane; Geodesic Curvature; Moving Frame; Derivation Equation