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A Study On The Parallel Normal Deformation In A Subspace W„ Of A Weyl Space Wm

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Abstract (2. Language): 
The parallel tangent and parallel Frenet deformation in Weyl space have already been investigated [7]. In this study some problems of deformations of subspace -Wn of a Weyl space Wm were investigated. The necessary conditions that the normal N" (v - n + l,...,m) denoting the contravariant components of a system of unit normals to Wn be deformed parallelly and parallel tangent deformation for subspace FF^of Wm were obtained.

REFERENCES

References: 

1.
A
. Norden, "Affinely Connected Spaces", GRFML, Moscow, 1976 (hi Russian)
2.
V
. Hlavaty, "Les Cowbes de La Variete Wf\ Memor. Sei. Math., Paris, 1934
3.
G
. Zlatanov, ''Nets in the Two Dimensional Space of Weyl", C. R. Acad. Bulgarie Sei.,(29) 5 (1976)
4.
G
. Zlatanov, "Special Networks in the n- Dimensional Space of Weyt\ C. R. Acad. Bulgarie Sei., (41), (10), (1988)
5.
Z
. Senturk and L. Zeren, "On a Set of (m-n) Congruences of Curves in Subspace Wm", Ganita, Vol. 49, No.l, 1988,77-85
6.
O.S
. Germanov, "Motions in Weyl Spaces", Trudy Geometricheskogo Seminera,l 976,9,26¬31
7.
H
. Demirbüker, L. Zeren Akgün, "Paralel Tangent and Paralel Frenet Deformation in Weyl Space", International Mathematical Journal V.5, N.5, 2004
8.
Hayde
n H. A. "Deformations of a Cuive In Riemannian n- Space Winch Displace Certain Vectors Parallely at Each Poinf Proc. London Math. Soc. (2),32,1931
9.
Weatherburn
, C, E., "An Introduction to Riemannian Geometry and the Tensor Calculus", Cambridge University Pres, 1950
10.
Kamal
a Devi Singh, "Infinitesimal Deformations in a Subspace Vn of a Riemanian Space Wm" Acad. Roy. Belg. Bull. CI. Sei. V.5, 40, 1954
11.
Z
. Senturk and L. Zeren, "Prolonged and Generalized Coddazzi Functions Relative to the Congruence (l) in a Hypersurface Wn of a Weyl Space Wii+l" Bull. Col. Math. Soc. 90, 53-60(1998)

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