AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4

Volume: 9 Number: 1 March 1, 2019
  • S. Büyükkütük
  • G. Öztürk
EN

AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4

Abstract

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.

Keywords

References

  1. 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.
  2. Bulca, B., Arslan, K., (2013), Surfaces Given with the Monge Patch in E4, Journal of Mathematical Physics, Analysis, Geometry, 9(4), pp. 435-447.
  3. 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.
  4. 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.
  5. Chen, B. Y., (1973), Geometry of Submanifolds, Dekker, New York.
  6. 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.
  7. Meng, H., Liu, H., (2009), Factorable Surfaces in 3−Minkowski Space, Bull. Korean Math. Soc., 46(1), pp. 155-169.
  8. Woestyne, I. V., (1993), A new characterization of helicoids, Geometry and topology of submanifolds, World Sci. Publ., River Edge, NJ., pp. 267-273.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

S. Büyükkütük This is me

G. Öztürk This is me

Publication Date

March 1, 2019

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2019 Volume: 9 Number: 1

APA
Büyükkütük, S., & Öztürk, G. (2019). AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4. TWMS Journal of Applied and Engineering Mathematics, 9(1), 121-127. https://izlik.org/JA64LR89HF
AMA
1.Büyükkütük S, Öztürk G. AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4. JAEM. 2019;9(1):121-127. https://izlik.org/JA64LR89HF
Chicago
Büyükkütük, S., and G. Öztürk. 2019. “AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4”. TWMS Journal of Applied and Engineering Mathematics 9 (1): 121-27. https://izlik.org/JA64LR89HF.
EndNote
Büyükkütük S, Öztürk G (March 1, 2019) AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4. TWMS Journal of Applied and Engineering Mathematics 9 1 121–127.
IEEE
[1]S. Büyükkütük and G. Öztürk, “AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4”, JAEM, vol. 9, no. 1, pp. 121–127, Mar. 2019, [Online]. Available: https://izlik.org/JA64LR89HF
ISNAD
Büyükkütük, S. - Öztürk, G. “AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4”. TWMS Journal of Applied and Engineering Mathematics 9/1 (March 1, 2019): 121-127. https://izlik.org/JA64LR89HF.
JAMA
1.Büyükkütük S, Öztürk G. AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4. JAEM. 2019;9:121–127.
MLA
Büyükkütük, S., and G. Öztürk. “AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 1, Mar. 2019, pp. 121-7, https://izlik.org/JA64LR89HF.
Vancouver
1.S. Büyükkütük, G. Öztürk. AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4. JAEM [Internet]. 2019 Mar. 1;9(1):121-7. Available from: https://izlik.org/JA64LR89HF