On Curves and Surfaces of Aw(K) Type

Bengü Kılıç, Kadri Arslan

Öz


In the present study we consider curves and surfaces of AW(k) ( k =1, 2 or 3 ) type. We also give related examples of curves and surfaces satisfying AW(k) type conditions.

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Referanslar


B.Y. Chen, “Geometry of Submanifolds”, Dekker (1973).

U. Lumiste, “Submanifolds with Parallel Fundamental Form ”, Handbook of Differential Geometry (1999) Vol 1, Chapter 7, 86.

K. Arslan, C. Ozgur, “Curves and Surfaces of AW(k) Type”, Geometry and Topology of Submanifolds IX (Valenciennes/Lyon/Leuven, 1997) World Sci. Publishing, River Edge, NJ, (1999) 21-26.

K. Arslan, “Isoparametric Submanifolds With Pointwise k-Planar Normal Sections”, PhD. Thesis, The University of Leeds, (1993).

J. Deprez, “Semi-parallel Surfaces in Euclidean Spaces”, Journal of Geometry, (1985) Vol 25, 192-200.


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