Araştırma Makalesi

On Surfaces in pseudo-Galilean space with prescribed mean curvature

Cilt: 11 Sayı: 2 31 Aralık 2021
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On Surfaces in pseudo-Galilean space with prescribed mean curvature

Öz

In this work, we consider certain classes of surfaces in the pseudo-Galilean space, the translation and factorable surfaces. We classify these surfaces that satisfy the equation H=v^ , where H is the mean curvature and v^ the normal component of an isotropic vector v.

Anahtar Kelimeler

Kaynakça

  1. [1] Bueno, A., Translating solitons of the mean curvature flow in the space H^2×R, Journal of Geometry, (109, Article number )42, 2018. https://doi.org/10.1007/s00022-018-0447-x, 2018.
  2. [2] López, R., Separation of variables in equations of mean-curvature type, Proceedings of the Royal Society of Edinburgh Section A, (146)5146(5), 1017-1035, 2016.
  3. [3] López, R., Some geometric properties of translating solitons in Euclidean space, Journal of Geometry, (109, Article number )40, 2018. https://doi.org/10.1007/s00022-018-0444-0
  4. [4] Aydin, M.E., López, R., Ruled translating solitons in Minkowski 3-space, preprintarXiv:2109.05254v1, 2021.
  5. [5] Aydin, M.E., López, R., Translating solitons by separation of variables, arXiv:2109.05253v1 preprint, 2021.
  6. [6] Angenent, S., On the formation of singularities in the curve shortening flow, Journal of Differential Geometry, 33, 601-633, 1991.
  7. [7] Halldorsson, H., Self-similar solutions to the curve shortening flow, Transactions of the American Mathematical Society, (364)10364(10), 5285-5309, 2012.
  8. [8] Castro, I., Castro-Infantes, I., Castro-Infantes, J., Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers, Open Mathematics, 16,747-766, 2018.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Aralık 2021

Gönderilme Tarihi

1 Nisan 2021

Kabul Tarihi

4 Ağustos 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 11 Sayı: 2

Kaynak Göster

APA
Aydın, M. E., & Öğrenmiş, A. O. (2021). On Surfaces in pseudo-Galilean space with prescribed mean curvature. Adıyaman University Journal of Science, 11(2), 215-226. https://doi.org/10.37094/adyujsci.907765
AMA
1.Aydın ME, Öğrenmiş AO. On Surfaces in pseudo-Galilean space with prescribed mean curvature. ADYU J SCI. 2021;11(2):215-226. doi:10.37094/adyujsci.907765
Chicago
Aydın, Muhittin Evren, ve Alper Osman Öğrenmiş. 2021. “On Surfaces in pseudo-Galilean space with prescribed mean curvature”. Adıyaman University Journal of Science 11 (2): 215-26. https://doi.org/10.37094/adyujsci.907765.
EndNote
Aydın ME, Öğrenmiş AO (01 Aralık 2021) On Surfaces in pseudo-Galilean space with prescribed mean curvature. Adıyaman University Journal of Science 11 2 215–226.
IEEE
[1]M. E. Aydın ve A. O. Öğrenmiş, “On Surfaces in pseudo-Galilean space with prescribed mean curvature”, ADYU J SCI, c. 11, sy 2, ss. 215–226, Ara. 2021, doi: 10.37094/adyujsci.907765.
ISNAD
Aydın, Muhittin Evren - Öğrenmiş, Alper Osman. “On Surfaces in pseudo-Galilean space with prescribed mean curvature”. Adıyaman University Journal of Science 11/2 (01 Aralık 2021): 215-226. https://doi.org/10.37094/adyujsci.907765.
JAMA
1.Aydın ME, Öğrenmiş AO. On Surfaces in pseudo-Galilean space with prescribed mean curvature. ADYU J SCI. 2021;11:215–226.
MLA
Aydın, Muhittin Evren, ve Alper Osman Öğrenmiş. “On Surfaces in pseudo-Galilean space with prescribed mean curvature”. Adıyaman University Journal of Science, c. 11, sy 2, Aralık 2021, ss. 215-26, doi:10.37094/adyujsci.907765.
Vancouver
1.Muhittin Evren Aydın, Alper Osman Öğrenmiş. On Surfaces in pseudo-Galilean space with prescribed mean curvature. ADYU J SCI. 01 Aralık 2021;11(2):215-26. doi:10.37094/adyujsci.907765