Research Article

Henneberg's algebraic surfaces in Minkowski 3-space

Volume: 68 Number: 2 August 1, 2019
EN

Henneberg's algebraic surfaces in Minkowski 3-space

Abstract

Bu çalışmada, üç boyutlu Minkowski uzayında Henneberg minimal yüzeyi ele alınmış olup yüzeyin derece, sınıf ve integralden bağımsız gösterinleri verilniştir.

Keywords

References

  1. Fomenko A.T., Tuzhilin A.A., Elements of the Geometry and Topology of Minimal Surfaces in Three-Dimensional Space, Translated from the Russian by E.J.F. Primrose. Translations of Mathematical Monographs, 93. American Math. Soc., Providence, RI, 1991.
  2. Fujimori S., Saji K., Umehara M., Yamada K., Singularities of maximal surfaces, Math. Z. 259 (2008) 827--848.
  3. Gray A., Salamon S., Abbena E., Modern Differential Geometry of Curves and Surfaces with Mathematica, Third ed. Chapman & Hall/CRC Press, Boca Raton, 2006.
  4. Henneberg L., Über salche minimalfläche, welche eine vorgeschriebene ebene curve sur geodätishen line haben. Doctoral Dissertation, Eidgenössisches Polythechikum, Zürich, 1875.
  5. Henneberg L., Über diejenige minimalfläche, welche die Neil'sche Paralee zur ebenen geodätischen line hat, Vierteljschr Natuforsch, Ges. Zürich, 21 (1876) 66--70.
  6. Henneberg L., Bestimmung der neidrigsten Classenzahl der algebraischen Minimalflächen. Annali di Matem. Pura Appl. 9 (1878) 54--57.
  7. Inoguchi J., Lee S., Null curves in Minkowski 3-space, Int. Electron. J. Geom., 1, No. 2 (2008) 40--83.
  8. Kobayashi O., Maximal surfaces in the 3-dimensional Minkowski space L³, Tokyo J. Math. 6, No. 2 (1983) 297--309.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

August 1, 2019

Submission Date

July 17, 2018

Acceptance Date

March 6, 2019

Published in Issue

Year 2019 Volume: 68 Number: 2

APA
Güler, E., & Zambak, V. (2019). Henneberg’s algebraic surfaces in Minkowski 3-space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1761-1773. https://doi.org/10.31801/cfsuasmas.444554
AMA
1.Güler E, Zambak V. Henneberg’s algebraic surfaces in Minkowski 3-space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1761-1773. doi:10.31801/cfsuasmas.444554
Chicago
Güler, Erhan, and Vahit Zambak. 2019. “Henneberg’s Algebraic Surfaces in Minkowski 3-Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 1761-73. https://doi.org/10.31801/cfsuasmas.444554.
EndNote
Güler E, Zambak V (August 1, 2019) Henneberg’s algebraic surfaces in Minkowski 3-space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1761–1773.
IEEE
[1]E. Güler and V. Zambak, “Henneberg’s algebraic surfaces in Minkowski 3-space”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1761–1773, Aug. 2019, doi: 10.31801/cfsuasmas.444554.
ISNAD
Güler, Erhan - Zambak, Vahit. “Henneberg’s Algebraic Surfaces in Minkowski 3-Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 1761-1773. https://doi.org/10.31801/cfsuasmas.444554.
JAMA
1.Güler E, Zambak V. Henneberg’s algebraic surfaces in Minkowski 3-space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1761–1773.
MLA
Güler, Erhan, and Vahit Zambak. “Henneberg’s Algebraic Surfaces in Minkowski 3-Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 1761-73, doi:10.31801/cfsuasmas.444554.
Vancouver
1.Erhan Güler, Vahit Zambak. Henneberg’s algebraic surfaces in Minkowski 3-space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):1761-73. doi:10.31801/cfsuasmas.444554

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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