Research Article
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Heis3 de İki Eğri Tarafından Üretilen Yüzeylerin Bazı Karakterizasyonları

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

Abstract

 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. 

References

  • 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

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

Abstract

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.

References

  • 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.
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Gülden Altay Suroğlu

Publication Date December 1, 2018
Submission Date September 27, 2017
Acceptance Date January 12, 2018
Published in Issue Year 2018

Cite

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. December 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, no. 6 (December 2018): 1532-37. https://doi.org/10.16984/saufenbilder.340076.
EndNote Altay Suroğlu G (December 1, 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, vol. 22, no. 6, pp. 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 (December 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, vol. 22, no. 6, 2018, pp. 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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