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AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4

Yıl 2019, Cilt: 9 Sayı: 1, 121 - 127, 01.03.2019

Öz

In the present paper, we consider the factorable surfaces in Euclidean 4-space E4. We characterize such surfaces in terms of their Gaussian curvature, Gaussian torsion and mean curvature. Further, we classify at, semiumbilical and minimal factorable surfaces in E4.

Kaynakça

  • Arslan, K., Bayram, B. K., Bulca, B., Kim, Y.H., Murathan, C., ¨Ozt¨urk, G., (2011), Vranceanu Surface in E4with Pointwise 1-Type Gauss Map, Indian J. Pure Appl. Math., 42(1), pp. 41-51.
  • Bulca, B., Arslan, K., (2013), Surfaces Given with the Monge Patch in E4, Journal of Mathematical Physics, Analysis, Geometry, 9(4), pp. 435-447.
  • Bulca, B., Arslan, K., Bayram, B.K., ¨Ozt¨urk, G., (2012), Spherical Product Surface in E4, Ann. St. Univ. Ovidius Constanta, 20(1), pp. 41-54.
  • B¨uy¨ukk¨ut¨uk, S., ¨Ozt¨urk, G. (2018), A Characterization of Factorable Surfaces in Euclidean 4−Space E, Koc. J. Sci. Eng., 1(1), pp. 15-20.
  • Chen, B. Y., (1973), Geometry of Submanifolds, Dekker, New York.
  • Gutierrez Nunez, J. M., Romero Fuster, M. C., Sanchez-Bringas F., (2008), Codazzi Fields on Surfaces Immersed in Euclidean 4−spaces, Osaka J. Math., 45, pp. 877-894.
  • Meng, H., Liu, H., (2009), Factorable Surfaces in 3−Minkowski Space, Bull. Korean Math. Soc., 46(1), pp. 155-169.
  • Woestyne, I. V., (1993), A new characterization of helicoids, Geometry and topology of submanifolds, World Sci. Publ., River Edge, NJ., pp. 267-273.
  • Yu, Y., Liu, H., (2007), The factorable minimal surfaces, Proceedings of The Eleventh International Workshop on Diff. Geom., 11, pp. 33-39.
Yıl 2019, Cilt: 9 Sayı: 1, 121 - 127, 01.03.2019

Öz

Kaynakça

  • Arslan, K., Bayram, B. K., Bulca, B., Kim, Y.H., Murathan, C., ¨Ozt¨urk, G., (2011), Vranceanu Surface in E4with Pointwise 1-Type Gauss Map, Indian J. Pure Appl. Math., 42(1), pp. 41-51.
  • Bulca, B., Arslan, K., (2013), Surfaces Given with the Monge Patch in E4, Journal of Mathematical Physics, Analysis, Geometry, 9(4), pp. 435-447.
  • Bulca, B., Arslan, K., Bayram, B.K., ¨Ozt¨urk, G., (2012), Spherical Product Surface in E4, Ann. St. Univ. Ovidius Constanta, 20(1), pp. 41-54.
  • B¨uy¨ukk¨ut¨uk, S., ¨Ozt¨urk, G. (2018), A Characterization of Factorable Surfaces in Euclidean 4−Space E, Koc. J. Sci. Eng., 1(1), pp. 15-20.
  • Chen, B. Y., (1973), Geometry of Submanifolds, Dekker, New York.
  • Gutierrez Nunez, J. M., Romero Fuster, M. C., Sanchez-Bringas F., (2008), Codazzi Fields on Surfaces Immersed in Euclidean 4−spaces, Osaka J. Math., 45, pp. 877-894.
  • Meng, H., Liu, H., (2009), Factorable Surfaces in 3−Minkowski Space, Bull. Korean Math. Soc., 46(1), pp. 155-169.
  • Woestyne, I. V., (1993), A new characterization of helicoids, Geometry and topology of submanifolds, World Sci. Publ., River Edge, NJ., pp. 267-273.
  • Yu, Y., Liu, H., (2007), The factorable minimal surfaces, Proceedings of The Eleventh International Workshop on Diff. Geom., 11, pp. 33-39.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

S. Büyükkütük Bu kişi benim

G. Öztürk Bu kişi benim

Yayımlanma Tarihi 1 Mart 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 9 Sayı: 1

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