Some New Characterizations of Parallel Factorable Surface in Riemannian Three Dimensional Heisenberg Group

Yıl 2018, CMES 2018 Ek Sayısı, 31 - 36, 30.11.2018

Gülden Altay Suroğlu

https://doi.org/10.17714/gumusfenbil.440949

https://izlik.org/JA59KL47AN

Öz

In
this paper, we give some properties of parallel factorable surface which is
obtained by group operations in Riemannian three dimensional Heisenberg Group
H₃. Then, we obtain some characterizetions of parallel factorable surface
according to Levi- Civita connections of H₃.

Anahtar Kelimeler

Factorable surface , Heisenberg group , parallel surface , Riemannian metric

Üç Boyutlu Riemannian Heisenberg Grubunda Paralel Faktorable Yüzeylerin Bazı Karakterizasyonları

https://izlik.org/JA59KL47AN

Öz

Bu çalışmada üç boyutlu Riemannian Heisenberg grubunda grup işlemiyle
elde edilen paralel faktorable yüzeylerin bazı özellikleri verildi. Daha sonra H₃ te
Levi- Civita konneksiyonlarına göre paralel faktorable yüzeylerin bazı
karakterizasyonları elde edildi.

Anahtar Kelimeler

Faktorable yüzey , Heisenberg grup , paralel yüzey , Riemannian metrik

Kaynakça

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