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A Study On The Hyper Darboux Lines In A Generalised Weyl Space

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 2006-2007
Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In the previous works, some properties of the Hyper Darboux lines which are the generalized form of Darboux lines defined in 3- dimensional Euclid space were defined in Riemannian and Kaehlerian space [6], [7]. In this work, some properties of a Hyper Darboux line of various orders in GWA hyperspace of GWN+] space are obtained. In addition to this, a Hyper Darboux line of order zero inGW^, hyperspace of GWII+] space is considered and the equations involving the second fundamental tensor of the subspace are deduced.
FULL TEXT (PDF): 
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REFERENCES

References: 

1. Norden, A., "Affinely Connected Spaces", GRFML, Moscow,(1976) (In Russian)
2. Murgescu, V., "Sur les Espaces a Connection Affme", A Tenseur Recurrent, Bui. Inst. Pol de Jassy, VII(XII) 1-2, 65, (1962).
3. Murgescu, V.,"Espaces de Weyl generalises", Bui. hist. Pol de Jassy, (1970).
4. Zeren, Leyla., "Frenet Formulas for Curves in a Generalized Weyl Space" Ganita vol.51, No. 2, 149-164, (2000).
5. Demirbuker, H., Zeren Akgun, L., "Hypernormal Curves on the Generalized Weyl Space", Journal of Engineering and Natural Science No. 1/2005,68-72, (2005).
6. Sing, U., P., "On Hyper Darboux Lines in Riemannian Subspaces" Tensor, N. S., vol.20, 1-4, (1969).
7. Sing, A., K., "On Hyper Darboux Lines in Kaehlerian Hyperspaces" Acta Ciencia hidica, Vol. Xllm, No:3, 183-190 , 4445-4452, (1986).

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