Araştırma Makalesi
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Heis3 de İki Eğri Tarafından Üretilen Yüzeylerin Bazı Karakterizasyonları

Yıl 2018, Cilt: 22 Sayı: 6, 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, Cilt: 22 Sayı: 6, 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 Cilt: 22 Sayı: 6

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.

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