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Superconformal ruled surfaces in E4

Bengü Kiliç Bayram ; Department of Mathematics, Faculty of Science and Art, Balikesir University, Balikesir 10 145, Turkey
Betül Bulca ; Department of Mathematics, Uludağ University, Bursa-16 059, Turkey
Günay Öztürk ; Department of Mathematics, Kocaeli University, Kocaeli-41 310, Turkey


Puni tekst: engleski pdf 221 Kb

str. 235-244

preuzimanja: 1.268

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Sažetak

In the present study we consider ruled surfaces imbedded in a
Euclidean space of four dimensions. We also give some special
examples of ruled surfaces in E4. Further, the
curvature properties of these surface are investigated with
respect to variation of normal vectors and curvature
ellipse. Finally, we give a necessary and sufficient condition for
ruled surfaces in E4 to become superconformal. We also show that superconformal ruled surfaces in E4 are Chen surfaces.

Ključne riječi

ruled surface; curvature ellipse; superconformal surface

Hrčak ID:

44003

URI

https://hrcak.srce.hr/44003

Datum izdavanja:

9.12.2009.

Posjeta: 2.064 *

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