Araştırma Makalesi
BibTex RIS Kaynak Göster

Heis3 de İki Eğri Tarafından Üretilen Yüzeylerin Bazı Karakterizasyonları

Yıl 2018, , 1532 - 1537, 01.12.2018
https://doi.org/10.16984/saufenbilder.340076

Öz

 Bu makalede, 3-
boyutlu Heisenberg grubunda, grup çarpımıyla elde edilen yüzeylerin bazı karakterizasyonları
incelendi. Daha sonra, 3- boyutlu Heisenberg grubunda minimal factorable
yüzeylerin yeni bir sınıflandırması elde edildi. 

Kaynakça

  • Bekkar, M., Senoussi, B., Factorable surfaces in the three-dimensional Euclidean and Lorentzian spaces satisfying , J. Geom., 103 (2012), 17--29.
  • Carmo, M.P, Differential Geometry of Curves and Surfaces, Pearson Education, 1976.
  • Inoguchi, J. , López, R., Munteanu, M. , Minimal Translation Surfaces in the Heisenberg group Geom Dedicata, 161 (2012), 221-231.
  • López, R. , Munteanu, M., Minimal translation surfaces in arxiv:1010.1085v1 (2010).
  • Meng, H. , Liu, H., Factorable Surfaces in 3- Minkowski Space, Bull. Korean Math. Soc., 46 (2009), 155-169.
  • Oprea, J., Differential Geometry and Its Applications, New Jersey, 1997.
  • Turhan, E., Altay, G., Maximal and Minimal Surfaces of Factorable Surfaces in Int. J. Open Problems Compt. Math., 3 (2010), 200-212.
  • Turhan, E., Körp nar, T., Characterize On The Heisenberg Group With Left Invariant Lorentzian Metric, Demonstratio Mathematica, 2 (2009), 425-430.
  • Yu Y., Liu H., The factorable minimal surfaces, Proceedings of The Eleventh International Workshop on Diff. Geom. 11 (2007), 33-39.

Some Characterizations Of Surfaces Generated by Two Curves In Heis3

Yıl 2018, , 1532 - 1537, 01.12.2018
https://doi.org/10.16984/saufenbilder.340076

Öz

In
this paper, some characterizations of 
surfaces which are constructed by using the group operation in  are given. Then, a new
classification for minimal factorable surfaces in  is obtained.

Kaynakça

  • Bekkar, M., Senoussi, B., Factorable surfaces in the three-dimensional Euclidean and Lorentzian spaces satisfying , J. Geom., 103 (2012), 17--29.
  • Carmo, M.P, Differential Geometry of Curves and Surfaces, Pearson Education, 1976.
  • Inoguchi, J. , López, R., Munteanu, M. , Minimal Translation Surfaces in the Heisenberg group Geom Dedicata, 161 (2012), 221-231.
  • López, R. , Munteanu, M., Minimal translation surfaces in arxiv:1010.1085v1 (2010).
  • Meng, H. , Liu, H., Factorable Surfaces in 3- Minkowski Space, Bull. Korean Math. Soc., 46 (2009), 155-169.
  • Oprea, J., Differential Geometry and Its Applications, New Jersey, 1997.
  • Turhan, E., Altay, G., Maximal and Minimal Surfaces of Factorable Surfaces in Int. J. Open Problems Compt. Math., 3 (2010), 200-212.
  • Turhan, E., Körp nar, T., Characterize On The Heisenberg Group With Left Invariant Lorentzian Metric, Demonstratio Mathematica, 2 (2009), 425-430.
  • Yu Y., Liu H., The factorable minimal surfaces, Proceedings of The Eleventh International Workshop on Diff. Geom. 11 (2007), 33-39.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Gülden Altay Suroğlu

Yayımlanma Tarihi 1 Aralık 2018
Gönderilme Tarihi 27 Eylül 2017
Kabul Tarihi 12 Ocak 2018
Yayımlandığı Sayı Yıl 2018

Kaynak Göster

APA Altay Suroğlu, G. (2018). Some Characterizations Of Surfaces Generated by Two Curves In Heis3. Sakarya University Journal of Science, 22(6), 1532-1537. https://doi.org/10.16984/saufenbilder.340076
AMA Altay Suroğlu G. Some Characterizations Of Surfaces Generated by Two Curves In Heis3. SAUJS. Aralık 2018;22(6):1532-1537. doi:10.16984/saufenbilder.340076
Chicago Altay Suroğlu, Gülden. “Some Characterizations Of Surfaces Generated by Two Curves In Heis3”. Sakarya University Journal of Science 22, sy. 6 (Aralık 2018): 1532-37. https://doi.org/10.16984/saufenbilder.340076.
EndNote Altay Suroğlu G (01 Aralık 2018) Some Characterizations Of Surfaces Generated by Two Curves In Heis3. Sakarya University Journal of Science 22 6 1532–1537.
IEEE G. Altay Suroğlu, “Some Characterizations Of Surfaces Generated by Two Curves In Heis3”, SAUJS, c. 22, sy. 6, ss. 1532–1537, 2018, doi: 10.16984/saufenbilder.340076.
ISNAD Altay Suroğlu, Gülden. “Some Characterizations Of Surfaces Generated by Two Curves In Heis3”. Sakarya University Journal of Science 22/6 (Aralık 2018), 1532-1537. https://doi.org/10.16984/saufenbilder.340076.
JAMA Altay Suroğlu G. Some Characterizations Of Surfaces Generated by Two Curves In Heis3. SAUJS. 2018;22:1532–1537.
MLA Altay Suroğlu, Gülden. “Some Characterizations Of Surfaces Generated by Two Curves In Heis3”. Sakarya University Journal of Science, c. 22, sy. 6, 2018, ss. 1532-7, doi:10.16984/saufenbilder.340076.
Vancouver Altay Suroğlu G. Some Characterizations Of Surfaces Generated by Two Curves In Heis3. SAUJS. 2018;22(6):1532-7.

30930 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.