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

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

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.

Keywords:

Faktorable yüzey, Heisenberg grup, paralel yüzey, Riemannian metrik,

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