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

Year 2018, , 31 - 36, 30.11.2018

Gülden Altay Suroğlu

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

Abstract

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.

Keywords

Factorable surface, Heisenberg group, parallel surface, Riemannian metric

Üç Boyutlu Riemannian Heisenberg Grubunda Paralel Faktorable Yüzeylerin Bazı Karakterizasyonları

Abstract

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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