A new type of canal surface in Euclidean 4-space E^4

Year 2019, Volume: 23 Issue: 5, 801 - 809, 01.10.2019

İlim Kişi , Günay Öztürk , Kadri Arslan

https://doi.org/10.16984/saufenbilder.524471

Cited By: 3

Abstract

Bu çalışmada, E^4 4-boyutlu Öklid uzayında, merkez eğrisinin paralel öteleme çatısı vektörleri yardımıyla tanımlanan kanal yüzeyini örneği ile verdik. Bu yüzeyin eğrilik özelliklerini paralel öteleme çatısına göre eğrilik fonksiyonları cinsinden araştırdık. Daha sonra, Weingarten tipindeki kanal ve tüp yüzeyleri hakkında bazı sonuçlar verdik. Son olarak, bu tipteki yüzeylerin farklı yarıçap fonksiyonları için E^3 uzayındaki izdüşümlerini çizdirdik.

Keywords

Gaussian curvature, mean curvature, parallel transport frame, Weingarten surface

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