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GENELLEŞTİRİLMİŞ WEYL UZAYININ ALT UZAYLARINDA CHEBYSHEV ŞEBEKELERİ

CHEBYSHEV NETS IN A SUBSPACE OF A GENERALIZED WEYL SPACE

Journal Name:

  • Sigma Mühendislik ve Fen Bilimleri Dergisi

Publication Year:

  • 2005

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
Let GWm be m dimentional subspace of an n-dimensional subspace of an n-dimentional generalized Weyl space GWn and let ( , ,..., ) δ = v 1 v 2 v m be a net in GWm . In this paper the necessary and the sufficient condition that the net δ is to be a chebyshev net and a geodesic net relative to GWm and GWn is obtained.
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Abstract (Original Language): 
n boyutlu GWn genellleştirilmiş Weyl uzayının m boyutlu GWm alt uzayına ait bir şebeke ( , ,..., ) δ = v 1 v 2 v m olsun. Bu çalışmada δ şebekesinin GWm ve GWn e göre Chebyshev şebekesi ve jeodezik şebeke olması için gerek ve yeter koşullar elde edilmiştir.
FULL TEXT (PDF): 
PDF icon arastrmx_845_23_pp_24-30.pdf
  • 4
24-30
  • Turkish

REFERENCES

References: 

[1] Murgescu, V, “Sur les espaces a connection Affine”, a tenseur recurrent, Bul. Inst. Pol de
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[2] Murgescu, V, “Espaces deWeyl generalises”, Bul. Inst. Pol de Jassy, (1970).
[3] Uysal S Aynur and Özdeğer, Abdülkadir; “On the Chebyshev nets in a Hypersurface of a
Weyl Space”,J. Geom. 51,171-177, 1994.
[4] Özdeğer, Abdülkadir; “Chebyshev nets in a subspace of a weyl space and the generalized
Dupin Theorem”, Webs and Quasigroups 97-105, 1995.
[5] Zeren, Leyla; “On Generalized Weyl Space”, Bull. Cal. Math Soc. 91(4), 267-278 (1999).
[6] Norden, A; “Affinely connected spaces”, GRFML, Moscow, (1976).

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