Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2023, Cilt: 16 Sayı: 1, 171 - 180, 30.04.2023

Sezgin Büyükkütük

https://doi.org/10.36890/iejg.1195178

Öz

Kaynakça

  • [1] Aksoyak, F.K., Yaylı, Y.: Rotational Surfaces with pointwise 1-Type Gauss map in Pseudo-Euclidean Space $E2-4$. Proceedings Book of International Workshop on Theory of Submanifolds, June 2-4/2016, Istanbul. 1, (2016).
  • [2] Aminov, Y.A.: Surfaces in E4 with a Gaussian curvature coinciding with Gaussian torsion up to sign. Mathematical Notes. 56 (6), 1211-1215 (1994).
  • [3] Arslan, K., Bayram, B.K., Bulca, B., Kim, Y.H., Murathan, C., Öztürk, G.: Vranceanu Surfaces in E4 with Pointwise 1-Type Gauss map. Indian J. Pure Appl. Math.. 42, 41-51 (2011).
  • [4] Arslan, K., Bayram, B.K., Bulca, B., Kim, Y.H., Murathan, C., Öztürk, G.: Tensor Product Surfaces with Pointwise 1-Type Gauss map. Bull. Korean Math. Soc. 48 (3), 601-609 (2011).
  • [5] Arslan, K., Bayram, B.K., Bulca, B., Kim, Y.H., Murathan, C., Öztürk, G.: Rotational embeddings in E4 with pointwise 1-Type gauss map. Turkish Journal of Mathematics. 35 (3), 493-499 (2011).
  • [6] Arslan, K., Milousheva, V.: Meridian Surfaces of Elliptic or Hyperbolic Type with Pointwise 1-Type Gauss map in Minkowski 4-Space. Taiwanese Journal of Mathematics. 20, 311-332 (2016).
  • [7] Bektaş, B., Dursun, U. : Timelike Rotational Surface of Elliptic, Hyperbolic and Parabolic Types in Minkowski Space E1-4 with Pointwise 1-Type Gauss map. Flomat. 29, 381-392 (2015).
  • [8] Bulca, B., Arslan, K.: Surfaces Given With Monge Patch in E4. Journal of Mathematical Physics, Analysis, Geometry. 9 (4), 435-447 (2013).
  • [9] Büyükkütük, S., Öztürk, G.: A new type timelike surface given with Monge patch in E1-4. TWMS J. App. and Eng. Math.. 11, 176-183 (2021).
  • [10] Chen, B.Y., Choi, M., Kim, Y.H.: Surfaces of Revolution with pointwise 1-Type Gauss map. J. Korean Math. Soc. 42, 447-455 (2005).
  • [11] Choi, M., Kim, Y.H.: Characterization of the helicoid as ruled surfaces pointwise 1-Type Gauss map. Bull. Korean Math. Soc. 38, 753-761 (2001).
  • [12] Ganchev, G.: Timelike surfaces with zero mean curvature in Minkowski 4-Space. Israel J. of Math.. 196, 413-433 (2013).
  • [13] Kişi, İ., Öztürk, G.: A new type of tubular surface having pointwise 1-Type Gauss map in Euclidean 4-Space E4. Journal of Korean Mathematical Society. 55, 923-938 (2018

An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time

Yıl 2023, Cilt: 16 Sayı: 1, 171 - 180, 30.04.2023

Sezgin Büyükkütük

https://doi.org/10.36890/iejg.1195178

Öz

In this work, we handle timelike Aminov surfaces in E_1^4 with respect to having pointwise one type Gauss map. Firstly, we get the laplace of Gauss map of this type of surface. Then, we obtain that there is no timelike Aminov surface having harmonic Gauss map and also pointwise one type Gauss map of first kind in Minkowski 4-space. Further, we yield the conditions of having pointwise one type Gauss map of second kind.

Anahtar Kelimeler

Aminov surface Gauss map Minkowski 4-space

Kaynakça

  • [1] Aksoyak, F.K., Yaylı, Y.: Rotational Surfaces with pointwise 1-Type Gauss map in Pseudo-Euclidean Space $E2-4$. Proceedings Book of International Workshop on Theory of Submanifolds, June 2-4/2016, Istanbul. 1, (2016).
  • [2] Aminov, Y.A.: Surfaces in E4 with a Gaussian curvature coinciding with Gaussian torsion up to sign. Mathematical Notes. 56 (6), 1211-1215 (1994).
  • [3] Arslan, K., Bayram, B.K., Bulca, B., Kim, Y.H., Murathan, C., Öztürk, G.: Vranceanu Surfaces in E4 with Pointwise 1-Type Gauss map. Indian J. Pure Appl. Math.. 42, 41-51 (2011).
  • [4] Arslan, K., Bayram, B.K., Bulca, B., Kim, Y.H., Murathan, C., Öztürk, G.: Tensor Product Surfaces with Pointwise 1-Type Gauss map. Bull. Korean Math. Soc. 48 (3), 601-609 (2011).
  • [5] Arslan, K., Bayram, B.K., Bulca, B., Kim, Y.H., Murathan, C., Öztürk, G.: Rotational embeddings in E4 with pointwise 1-Type gauss map. Turkish Journal of Mathematics. 35 (3), 493-499 (2011).
  • [6] Arslan, K., Milousheva, V.: Meridian Surfaces of Elliptic or Hyperbolic Type with Pointwise 1-Type Gauss map in Minkowski 4-Space. Taiwanese Journal of Mathematics. 20, 311-332 (2016).
  • [7] Bektaş, B., Dursun, U. : Timelike Rotational Surface of Elliptic, Hyperbolic and Parabolic Types in Minkowski Space E1-4 with Pointwise 1-Type Gauss map. Flomat. 29, 381-392 (2015).
  • [8] Bulca, B., Arslan, K.: Surfaces Given With Monge Patch in E4. Journal of Mathematical Physics, Analysis, Geometry. 9 (4), 435-447 (2013).
  • [9] Büyükkütük, S., Öztürk, G.: A new type timelike surface given with Monge patch in E1-4. TWMS J. App. and Eng. Math.. 11, 176-183 (2021).
  • [10] Chen, B.Y., Choi, M., Kim, Y.H.: Surfaces of Revolution with pointwise 1-Type Gauss map. J. Korean Math. Soc. 42, 447-455 (2005).
  • [11] Choi, M., Kim, Y.H.: Characterization of the helicoid as ruled surfaces pointwise 1-Type Gauss map. Bull. Korean Math. Soc. 38, 753-761 (2001).
  • [12] Ganchev, G.: Timelike surfaces with zero mean curvature in Minkowski 4-Space. Israel J. of Math.. 196, 413-433 (2013).
  • [13] Kişi, İ., Öztürk, G.: A new type of tubular surface having pointwise 1-Type Gauss map in Euclidean 4-Space E4. Journal of Korean Mathematical Society. 55, 923-938 (2018
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Sezgin Büyükkütük 0000-0002-1845-0822

Yayımlanma Tarihi 30 Nisan 2023
Kabul Tarihi 14 Mart 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 16 Sayı: 1

Kaynak Göster

APA Büyükkütük, S. (2023). An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time. International Electronic Journal of Geometry, 16(1), 171-180. https://doi.org/10.36890/iejg.1195178
AMA Büyükkütük S. An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time. Int. Electron. J. Geom. Nisan 2023;16(1):171-180. doi:10.36890/iejg.1195178
Chicago Büyükkütük, Sezgin. “An Investigation of Timelike Aminov Surface With Respect to Its Gauss Map in Minkowski Space-Time”. International Electronic Journal of Geometry 16, sy. 1 (Nisan 2023): 171-80. https://doi.org/10.36890/iejg.1195178.
EndNote Büyükkütük S (01 Nisan 2023) An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time. International Electronic Journal of Geometry 16 1 171–180.
IEEE S. Büyükkütük, “An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time”, Int. Electron. J. Geom., c. 16, sy. 1, ss. 171–180, 2023, doi: 10.36890/iejg.1195178.
ISNAD Büyükkütük, Sezgin. “An Investigation of Timelike Aminov Surface With Respect to Its Gauss Map in Minkowski Space-Time”. International Electronic Journal of Geometry 16/1 (Nisan 2023), 171-180. https://doi.org/10.36890/iejg.1195178.
JAMA Büyükkütük S. An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time. Int. Electron. J. Geom. 2023;16:171–180.
MLA Büyükkütük, Sezgin. “An Investigation of Timelike Aminov Surface With Respect to Its Gauss Map in Minkowski Space-Time”. International Electronic Journal of Geometry, c. 16, sy. 1, 2023, ss. 171-80, doi:10.36890/iejg.1195178.
Vancouver Büyükkütük S. An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time. Int. Electron. J. Geom. 2023;16(1):171-80.
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