Research Article

DINI-TYPE HELICOIDAL HYPERSURFACE IN 4-SPACE

Volume: 1 Number: 1 January 18, 2019
EN

DINI-TYPE HELICOIDAL HYPERSURFACE IN 4-SPACE

Abstract

We define Dini-type helicoidal hypersurface in the four dimensional Euclidean space E4. We calculate the Gauss map, Gaussian curvature and the
mean curvature of the helicoidal hypersurface. Additionally, we find some special relations and symmetries for the curvatures.

Keywords

References

  1. Aksoyak F., Yaylı Y. (2014) Boost invariant surfaces with pointwise 1-type Gauss map in Minkowski 4-Space E_1^4. Bull. Korean Math. Soc. 51: 1863-1874.
  2. Aksoyak F., Yaylı Y. (2015) General rotational surfaces with pointwise 1-type Gauss map in pseudo-Euclidean space E_2^4. Indian J. Pure Appl. Math. 46: 107-118.
  3. Arslan K., Bulca B., Milousheva V. (2014) Meridian surfaces in E^4 with pointwise 1-type Gauss map. Bull. Korean Math. Soc. 51: 911-922.
  4. Arslan K., Deszcz R., Yaprak Ş. (1997) On Weyl pseudosymmetric hypersurfaces. Colloq. Math. 72(2): 353-361.
  5. Arvanitoyeorgos A., Kaimakamis G., Magid M. (2009) Lorentz hypersurfaces in E_1^4 satisfying ΔH=αH. Illinois J. Math. 53(2): 581-590.
  6. Chen B.Y. (2014) Total Mean Curvature and Submanifolds of Finite Type. 2nd Edn, World Scientific, Hackensack.
  7. Chen B.Y., Choi M., Kim Y.H. (2005) Surfaces of revolution with pointwise 1-type Gauss map. Korean Math. Soc. 42: 447-455.
  8. Chen B.Y., Ishikawa S. (1993) On classification of some surfaces of revolution of finite type. Tsukuba J. Math.17(1): 287-298.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ayçın Gümüşok Karaalp This is me
Türkiye

Publication Date

January 18, 2019

Submission Date

March 13, 2019

Acceptance Date

April 4, 2019

Published in Issue

Year 2019 Volume: 1 Number: 1

APA
Güler, E., & Gümüşok Karaalp, A. (2019). DINI-TYPE HELICOIDAL HYPERSURFACE IN 4-SPACE. Ikonion Journal of Mathematics, 1(1), 26-34. https://izlik.org/JA22EW85HW
AMA
1.Güler E, Gümüşok Karaalp A. DINI-TYPE HELICOIDAL HYPERSURFACE IN 4-SPACE. ikjm. 2019;1(1):26-34. https://izlik.org/JA22EW85HW
Chicago
Güler, Erhan, and Ayçın Gümüşok Karaalp. 2019. “DINI-TYPE HELICOIDAL HYPERSURFACE IN 4-SPACE”. Ikonion Journal of Mathematics 1 (1): 26-34. https://izlik.org/JA22EW85HW.
EndNote
Güler E, Gümüşok Karaalp A (January 1, 2019) DINI-TYPE HELICOIDAL HYPERSURFACE IN 4-SPACE. Ikonion Journal of Mathematics 1 1 26–34.
IEEE
[1]E. Güler and A. Gümüşok Karaalp, “DINI-TYPE HELICOIDAL HYPERSURFACE IN 4-SPACE”, ikjm, vol. 1, no. 1, pp. 26–34, Jan. 2019, [Online]. Available: https://izlik.org/JA22EW85HW
ISNAD
Güler, Erhan - Gümüşok Karaalp, Ayçın. “DINI-TYPE HELICOIDAL HYPERSURFACE IN 4-SPACE”. Ikonion Journal of Mathematics 1/1 (January 1, 2019): 26-34. https://izlik.org/JA22EW85HW.
JAMA
1.Güler E, Gümüşok Karaalp A. DINI-TYPE HELICOIDAL HYPERSURFACE IN 4-SPACE. ikjm. 2019;1:26–34.
MLA
Güler, Erhan, and Ayçın Gümüşok Karaalp. “DINI-TYPE HELICOIDAL HYPERSURFACE IN 4-SPACE”. Ikonion Journal of Mathematics, vol. 1, no. 1, Jan. 2019, pp. 26-34, https://izlik.org/JA22EW85HW.
Vancouver
1.Erhan Güler, Ayçın Gümüşok Karaalp. DINI-TYPE HELICOIDAL HYPERSURFACE IN 4-SPACE. ikjm [Internet]. 2019 Jan. 1;1(1):26-34. Available from: https://izlik.org/JA22EW85HW