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

#### Erhan Güler [1] , Ömer Kişi [2]

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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.

4-space, surface, Weierstrass representation, degree, class
• [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.
Subjects Engineering Articles Author: Erhan Güler Author: Ömer Kişi
 Bibtex @research article { cbayarfbe302661, journal = {Celal Bayar University Journal of Science}, issn = {1305-130X}, eissn = {1305-1385}, address = {Celal Bayar University}, year = {2017}, volume = {13}, pages = {155 - 163}, doi = {10.18466/cbayarfbe.302661}, title = {Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space}, key = {cite}, author = {Güler, Erhan and Kişi, Ömer} } 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. DOI: 10.18466/cbayarfbe.302661 MLA Güler, E , Kişi, Ö . "Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space". Celal Bayar University Journal of Science 13 (2017): 155-163 Chicago Güler, E , Kişi, Ö . "Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space". Celal Bayar University Journal of Science 13 (2017): 155-163 RIS TY - JOUR T1 - Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space AU - Erhan Güler , Ömer Kişi Y1 - 2017 PY - 2017 N1 - doi: 10.18466/cbayarfbe.302661 DO - 10.18466/cbayarfbe.302661 T2 - Celal Bayar University Journal of Science JF - Journal JO - JOR SP - 155 EP - 163 VL - 13 IS - 1 SN - 1305-130X-1305-1385 M3 - doi: 10.18466/cbayarfbe.302661 UR - https://doi.org/10.18466/cbayarfbe.302661 Y2 - 2019 ER - EndNote %0 Celal Bayar University Journal of Science Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space %A Erhan Güler , Ömer Kişi %T Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space %D 2017 %J Celal Bayar University Journal of Science %P 1305-130X-1305-1385 %V 13 %N 1 %R doi: 10.18466/cbayarfbe.302661 %U 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 2017): 155-163. https://doi.org/10.18466/cbayarfbe.302661