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On the Transformations Preserving Asymptotic Directions of Hypersurfaces in the Euclidean Space

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2009

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
We consider the transformations preserving asymptotic directions of hypersurfaces in n-dimensional Euclidean space and we obtain a system of equations which must be satisfied by transformations.
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  • 4
564-573
  • English

REFERENCES

References: 

[1] Y. Alagöz, Z. Soyuçok, A note “On transformation preserving asymptotic lines of surfaces
in Three-Dimensional Euclidean Space”. Bulletin of the Technical University of Istanbul.
Submitted.
[2] Y. Aminov, The Geometry of Submanifolds. Gordon and Breach Science Publisher, Amsterdam,
2001, p.36-45.
[3] L. P Eisenhart, A Treatise on The Differantial Geometry of Curves and Surfaces. Dover
Publications, Inc., New York, 1960, p.202.
[4] F. Uras, On transformation preserving asymptotic lines of surfaces in Three-Dimensional
Euclidean Space. Bulletin of the Technical University of Istanbul. 48 , 1: 165-179 (1995).
[5] C. E. Weatherburn, An Introduction to Riemannian Geometry and The Tensor Calculus.
Cambridge University Press, Cambridge, 1963, p.134.

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