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Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space

Year 2017, Volume: 13 Issue: 1, 155 - 163, 30.03.2017

Erhan Güler , Ömer Kişi

https://doi.org/10.18466/cbayarfbe.302661
https://izlik.org/JA65MS54EU

Abstract

We study two parameters families of
Bour-type and Enneper-type minimal surfaces using the Weierstrass
representation in the four dimensional Euclidean space. We obtain implicit
algebraic equations, degree and classes of the surfaces.


Keywords

4-space surface Weierstrass representation degree class

References

  • [1] Ganchev, G., Milousheva, V. An invariant theory of surfaces in the four-dimensional Euclidean or Minkowski space. Pliska Stud. Math. Bulgar. 2012; 21, 177--200.

Year 2017, Volume: 13 Issue: 1, 155 - 163, 30.03.2017

Erhan Güler , Ömer Kişi

https://doi.org/10.18466/cbayarfbe.302661
https://izlik.org/JA65MS54EU

Abstract

References

  • [1] Ganchev, G., Milousheva, V. An invariant theory of surfaces in the four-dimensional Euclidean or Minkowski space. Pliska Stud. Math. Bulgar. 2012; 21, 177--200.
There are 1 citations in total.

Details

Subjects Engineering
Journal Section Research Article
Authors

Erhan Güler

Ömer Kişi

Publication Date March 30, 2017
DOI https://doi.org/10.18466/cbayarfbe.302661
IZ https://izlik.org/JA65MS54EU
Published in Issue Year 2017 Volume: 13 Issue: 1

Cite

APA Güler, E., & Kişi, Ö. (2017). Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space. Celal Bayar University Journal of Science, 13(1), 155-163. https://doi.org/10.18466/cbayarfbe.302661
AMA 1.Güler E, Kişi Ö. Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space. CBUJOS. 2017;13(1):155-163. doi:10.18466/cbayarfbe.302661
Chicago Güler, Erhan, and Ömer Kişi. 2017. “Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space”. Celal Bayar University Journal of Science 13 (1): 155-63. https://doi.org/10.18466/cbayarfbe.302661.
EndNote Güler E, Kişi Ö (March 1, 2017) Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space. Celal Bayar University Journal of Science 13 1 155–163.
IEEE [1]E. Güler and Ö. Kişi, “Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space”, CBUJOS, vol. 13, no. 1, pp. 155–163, Mar. 2017, doi: 10.18466/cbayarfbe.302661.
ISNAD Güler, Erhan - Kişi, Ömer. “Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space”. Celal Bayar University Journal of Science 13/1 (March 1, 2017): 155-163. https://doi.org/10.18466/cbayarfbe.302661.
JAMA 1.Güler E, Kişi Ö. Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space. CBUJOS. 2017;13:155–163.
MLA Güler, Erhan, and Ömer Kişi. “Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space”. Celal Bayar University Journal of Science, vol. 13, no. 1, Mar. 2017, pp. 155-63, doi:10.18466/cbayarfbe.302661.
Vancouver 1.Erhan Güler, Ömer Kişi. Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space. CBUJOS. 2017 Mar. 1;13(1):155-63. doi:10.18466/cbayarfbe.302661

Cited By

Implicit Equations of the Henneberg-Type Minimal Surface in the Four-Dimensional Euclidean Space
Mathematics
Erhan Güler
https://doi.org/10.3390/math6120279