Research Article

Timelike Factorable Surfaces in Minkowski Space-Time

Volume: 22 Number: 6 December 1, 2018
EN

Timelike Factorable Surfaces in Minkowski Space-Time

Abstract

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.

Keywords

References

  1. [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. [2] G. Ganchev, “Timelike surfaces with zero mean curvature in Minkowski space,” Israel J. of Math., vol. 196, pp. 413–433, 2013.
  3. [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. [4] B. Y. Chen, “Geometry of Submanifolds,” Marcel Dekker, NewYork, 1973.
  5. [5] I. Van de Woestyne, “A new characterization of helicoids,” Geometry and Topology of Submanifolds V., World Sci. Publ. River Edge, NJ, 1993.
  6. [6] I. Van de Woestyne, “Minimal homothetical hypersurfaces of a semi-Euclidean space,” Results Math, vol. 27, no. 3, pp. 333–342, 1995.
  7. [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. [8] H. Meng, H. Liu, “Factorable surfaces in Minkowski space,” Bull. Korean Math. Soc., vol. 46, no. 1, pp. 155–169, 2009.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 1, 2018

Submission Date

August 7, 2018

Acceptance Date

October 30, 2018

Published in Issue

Year 2018 Volume: 22 Number: 6

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
1.Büyükkütük S. Timelike Factorable Surfaces in Minkowski Space-Time. SAUJS. 2018;22(6):1939-1946. doi:10.16984/saufenbilder.451646
Chicago
Büyükkütük, Sezgin. 2018. “Timelike Factorable Surfaces in Minkowski Space-Time”. Sakarya University Journal of Science 22 (6): 1939-46. https://doi.org/10.16984/saufenbilder.451646.
EndNote
Büyükkütük S (December 1, 2018) Timelike Factorable Surfaces in Minkowski Space-Time. Sakarya University Journal of Science 22 6 1939–1946.
IEEE
[1]S. Büyükkütük, “Timelike Factorable Surfaces in Minkowski Space-Time”, SAUJS, vol. 22, no. 6, pp. 1939–1946, Dec. 2018, doi: 10.16984/saufenbilder.451646.
ISNAD
Büyükkütük, Sezgin. “Timelike Factorable Surfaces in Minkowski Space-Time”. Sakarya University Journal of Science 22/6 (December 1, 2018): 1939-1946. https://doi.org/10.16984/saufenbilder.451646.
JAMA
1.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, vol. 22, no. 6, Dec. 2018, pp. 1939-46, doi:10.16984/saufenbilder.451646.
Vancouver
1.Sezgin Büyükkütük. Timelike Factorable Surfaces in Minkowski Space-Time. SAUJS. 2018 Dec. 1;22(6):1939-46. doi:10.16984/saufenbilder.451646

Cited By


INDEXING & ABSTRACTING & ARCHIVING

33418 33537  30939     30940 30943 30941  30942  33255    33253  33254

30944  30945  30946   34239




30930Bu eser Creative Commons Atıf-Ticari Olmayan 4.0 Uluslararası Lisans   kapsamında lisanslanmıştır .