Araştırma Makalesi
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Timelike Factorable Surfaces in Minkowski Space-Time

Yıl 2018, Cilt: 22 Sayı: 6, 1939 - 1946, 01.12.2018
https://doi.org/10.16984/saufenbilder.451646

Öz

In this study, we discuss timelike factorable surfaces in
Minkowski 4-space E_1^4. We calculate Gaussian and mean curvatures of these
surfaces and classify timelike flat and minimal factorable surfaces in
Minkowski space-time.

Kaynakça

  • [1] B.Y. Chen and J. Van der Veken, “Marginally trapped surfaces in Lorentzian space forms with positive relative nullity,” Class. Quantum Grav., vol. 24, pp. 551–563, 2007.
  • [2] G. Ganchev, “Timelike surfaces with zero mean curvature in Minkowski space,” Israel J. of Math., vol. 196, pp. 413–433, 2013.
  • [3] B. Bektaş, U. Dursun, “Timelike rotational surface of elliptic, hyperbolic and parabolic types in Minkowski space with pointwise type Gauss map,” Filomat, vol. 29, no. 3, pp. 381–392, 2015.
  • [4] B. Y. Chen, “Geometry of Submanifolds,” Marcel Dekker, NewYork, 1973.
  • [5] I. Van de Woestyne, “A new characterization of helicoids,” Geometry and Topology of Submanifolds V., World Sci. Publ. River Edge, NJ, 1993.
  • [6] I. Van de Woestyne, “Minimal homothetical hypersurfaces of a semi-Euclidean space,” Results Math, vol. 27, no. 3, pp. 333–342, 1995.
  • [7] R. Lopez, M. Moruz, “Translation and homothetical surfaces in Euclidean spaces with constant curvature,” J. Korean Math. Soc., vol. 52, no. 3, pp. 523–535, 2015.
  • [8] H. Meng, H. Liu, “Factorable surfaces in Minkowski space,” Bull. Korean Math. Soc., vol. 46, no. 1, pp. 155–169, 2009.
  • [9] Y. Yu, H. Liu, “The factorable minimal surfaces ,” Proceedings of The Eleventh International Workshop on Diff. Geom., vol. 11, pp. 33–39, 2007.
  • [10] Y. A. Aminov, “Surfaces in with a Gaussian curvature coinciding with a Gaussian torsion up to sign,” Mathematical Notes, vol. 56, pp. 5–6, 1994.
  • [11] B. Bulca, K. Arslan, “Surfaces given with the Monge patch in ,” Journal of Mathematical Physics, Analysis, Geometry, vol. 9, no. 4, pp. 435–447, 2013.
  • [12] K. Arslan, B. K. Bayram, B. Bulca, G. Öztürk, “Generalized rotational surfaces in ,” Results in Mathematics, vol. 61, no. 3-4, pp. 315-327, 2012.
  • [13] K. Arslan, B. K. Bayram, B. Bulca, Y.H. Kim, C. Murathan, G. Öztürk, “Rotational embeddings in with pointwise 1-type Gauss map, ” Turk J. Math., vol. 35, pp. 493-499, 2011.
  • [14] K. Arslan, B. Bulca, B. K. Bayram, Y. H. Kim, C. Murathan, G. Öztürk, “Tensor product surfaces with pointwise 1-type Gauss map,” Bull. Korean Math. Soc., vol. 48, no. 3, pp. 601–609, 2011.
  • [15] K. Arslan, B. K. Bayram, B. Bulca, Y.H. Kim, C. Murathan, G. Öztürk, “ Vranceanu surface in with pointwise 1-type Gauss map, ” Indian J. Pure Appl. Math., vol. 42, no. 1, pp. 41-51, 2011.
  • [16] E. İyigün, K. Arslan, G. Öztürk, “ A characterization of Chen surfaces in ,” Bull. Malays. Math. Soc., vol. 31, no. 2, pp. 209-215, 2008.
Yıl 2018, Cilt: 22 Sayı: 6, 1939 - 1946, 01.12.2018
https://doi.org/10.16984/saufenbilder.451646

Öz

Kaynakça

  • [1] B.Y. Chen and J. Van der Veken, “Marginally trapped surfaces in Lorentzian space forms with positive relative nullity,” Class. Quantum Grav., vol. 24, pp. 551–563, 2007.
  • [2] G. Ganchev, “Timelike surfaces with zero mean curvature in Minkowski space,” Israel J. of Math., vol. 196, pp. 413–433, 2013.
  • [3] B. Bektaş, U. Dursun, “Timelike rotational surface of elliptic, hyperbolic and parabolic types in Minkowski space with pointwise type Gauss map,” Filomat, vol. 29, no. 3, pp. 381–392, 2015.
  • [4] B. Y. Chen, “Geometry of Submanifolds,” Marcel Dekker, NewYork, 1973.
  • [5] I. Van de Woestyne, “A new characterization of helicoids,” Geometry and Topology of Submanifolds V., World Sci. Publ. River Edge, NJ, 1993.
  • [6] I. Van de Woestyne, “Minimal homothetical hypersurfaces of a semi-Euclidean space,” Results Math, vol. 27, no. 3, pp. 333–342, 1995.
  • [7] R. Lopez, M. Moruz, “Translation and homothetical surfaces in Euclidean spaces with constant curvature,” J. Korean Math. Soc., vol. 52, no. 3, pp. 523–535, 2015.
  • [8] H. Meng, H. Liu, “Factorable surfaces in Minkowski space,” Bull. Korean Math. Soc., vol. 46, no. 1, pp. 155–169, 2009.
  • [9] Y. Yu, H. Liu, “The factorable minimal surfaces ,” Proceedings of The Eleventh International Workshop on Diff. Geom., vol. 11, pp. 33–39, 2007.
  • [10] Y. A. Aminov, “Surfaces in with a Gaussian curvature coinciding with a Gaussian torsion up to sign,” Mathematical Notes, vol. 56, pp. 5–6, 1994.
  • [11] B. Bulca, K. Arslan, “Surfaces given with the Monge patch in ,” Journal of Mathematical Physics, Analysis, Geometry, vol. 9, no. 4, pp. 435–447, 2013.
  • [12] K. Arslan, B. K. Bayram, B. Bulca, G. Öztürk, “Generalized rotational surfaces in ,” Results in Mathematics, vol. 61, no. 3-4, pp. 315-327, 2012.
  • [13] K. Arslan, B. K. Bayram, B. Bulca, Y.H. Kim, C. Murathan, G. Öztürk, “Rotational embeddings in with pointwise 1-type Gauss map, ” Turk J. Math., vol. 35, pp. 493-499, 2011.
  • [14] K. Arslan, B. Bulca, B. K. Bayram, Y. H. Kim, C. Murathan, G. Öztürk, “Tensor product surfaces with pointwise 1-type Gauss map,” Bull. Korean Math. Soc., vol. 48, no. 3, pp. 601–609, 2011.
  • [15] K. Arslan, B. K. Bayram, B. Bulca, Y.H. Kim, C. Murathan, G. Öztürk, “ Vranceanu surface in with pointwise 1-type Gauss map, ” Indian J. Pure Appl. Math., vol. 42, no. 1, pp. 41-51, 2011.
  • [16] E. İyigün, K. Arslan, G. Öztürk, “ A characterization of Chen surfaces in ,” Bull. Malays. Math. Soc., vol. 31, no. 2, pp. 209-215, 2008.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Sezgin Büyükkütük 0000-0002-1845-0822

Yayımlanma Tarihi 1 Aralık 2018
Gönderilme Tarihi 7 Ağustos 2018
Kabul Tarihi 30 Ekim 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 22 Sayı: 6

Kaynak Göster

APA Büyükkütük, S. (2018). Timelike Factorable Surfaces in Minkowski Space-Time. Sakarya University Journal of Science, 22(6), 1939-1946. https://doi.org/10.16984/saufenbilder.451646
AMA Büyükkütük S. Timelike Factorable Surfaces in Minkowski Space-Time. SAUJS. Aralık 2018;22(6):1939-1946. doi:10.16984/saufenbilder.451646
Chicago Büyükkütük, Sezgin. “Timelike Factorable Surfaces in Minkowski Space-Time”. Sakarya University Journal of Science 22, sy. 6 (Aralık 2018): 1939-46. https://doi.org/10.16984/saufenbilder.451646.
EndNote Büyükkütük S (01 Aralık 2018) Timelike Factorable Surfaces in Minkowski Space-Time. Sakarya University Journal of Science 22 6 1939–1946.
IEEE S. Büyükkütük, “Timelike Factorable Surfaces in Minkowski Space-Time”, SAUJS, c. 22, sy. 6, ss. 1939–1946, 2018, doi: 10.16984/saufenbilder.451646.
ISNAD Büyükkütük, Sezgin. “Timelike Factorable Surfaces in Minkowski Space-Time”. Sakarya University Journal of Science 22/6 (Aralık 2018), 1939-1946. https://doi.org/10.16984/saufenbilder.451646.
JAMA Büyükkütük S. Timelike Factorable Surfaces in Minkowski Space-Time. SAUJS. 2018;22:1939–1946.
MLA Büyükkütük, Sezgin. “Timelike Factorable Surfaces in Minkowski Space-Time”. Sakarya University Journal of Science, c. 22, sy. 6, 2018, ss. 1939-46, doi:10.16984/saufenbilder.451646.
Vancouver Büyükkütük S. Timelike Factorable Surfaces in Minkowski Space-Time. SAUJS. 2018;22(6):1939-46.

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