EN
MERIDIAN SURFACES OF WEINGARTEN TYPE IN 4-DIMENSIONAL EUCLIDEAN SPACE E4
Abstract
In this paper, we study meridian surfaces of Weingarten type in Euclidean 4-space E4. We give the necessary and sucient conditions for a meridian surface in E4 to become Weingarten type.
Keywords
References
- [1] K. Arslan and V. Milousheva, Meridian Surfaces of Elliptic or Hyperbolic Type with Pointwise 1-type Gauss map in Minkowski 4-Space, accepted Taiwanese Journal of Mathematics.
- [2] B. Bulca, K. Arslan and V. Milousheva, Meridian Surfaces in E4 with Pointwise 1-type Gauss Map, Bull. Korean Math. Soc., 51 (2014), 911{922.
- [3] B. Y. Chen, Geometry of Submanifolds , Dekker, New York, 1973.
- [4] B. Y. Chen, Pseudo-umbilical surfaces with constant Gauss curvature, Proceedings of the Edinburgh Mathematical Society (Series 2), 18(2) (1972), 143-148.
- [5] F. Dillen and W. Kuhnel, Ruled Weingarten surfaces in Minkowski 3-space, Manuscripta Math., 98 (1999), 307-320.
- [6] J. A. Galvez, A. Martinez and F. Milan, Linear Weingarten Surfaces in R3, Monatsh. Math., 138 (2003), 133-144.
- [7] G. Ganchev and V. Milousheva, Invariants and Bonnet-type theorem for surfaces in R4, Cent. Eur. J. Math., 8(6) (2010) 993-1008.
- [8] G. Ganchev and V. Milousheva, Special Class of Meridian Surfaces in the Four-Dimensional Euclidean Space, arXiv: 1402.5848v1 [math.DG], 24 Feb. 2014.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
April 1, 2016
Submission Date
July 10, 2014
Acceptance Date
-
Published in Issue
Year 2016 Volume: 4 Number: 1
APA
Öztürk, G., Bulca, B., Bayram, B. K., & Arslan, K. (2016). MERIDIAN SURFACES OF WEINGARTEN TYPE IN 4-DIMENSIONAL EUCLIDEAN SPACE E4. Konuralp Journal of Mathematics, 4(1), 239-245. https://izlik.org/JA96MY45SZ
AMA
1.Öztürk G, Bulca B, Bayram BK, Arslan K. MERIDIAN SURFACES OF WEINGARTEN TYPE IN 4-DIMENSIONAL EUCLIDEAN SPACE E4. Konuralp J. Math. 2016;4(1):239-245. https://izlik.org/JA96MY45SZ
Chicago
Öztürk, Günay, Betül Bulca, Bengü K. Bayram, and Kadri Arslan. 2016. “MERIDIAN SURFACES OF WEINGARTEN TYPE IN 4-DIMENSIONAL EUCLIDEAN SPACE E4”. Konuralp Journal of Mathematics 4 (1): 239-45. https://izlik.org/JA96MY45SZ.
EndNote
Öztürk G, Bulca B, Bayram BK, Arslan K (April 1, 2016) MERIDIAN SURFACES OF WEINGARTEN TYPE IN 4-DIMENSIONAL EUCLIDEAN SPACE E4. Konuralp Journal of Mathematics 4 1 239–245.
IEEE
[1]G. Öztürk, B. Bulca, B. K. Bayram, and K. Arslan, “MERIDIAN SURFACES OF WEINGARTEN TYPE IN 4-DIMENSIONAL EUCLIDEAN SPACE E4”, Konuralp J. Math., vol. 4, no. 1, pp. 239–245, Apr. 2016, [Online]. Available: https://izlik.org/JA96MY45SZ
ISNAD
Öztürk, Günay - Bulca, Betül - Bayram, Bengü K. - Arslan, Kadri. “MERIDIAN SURFACES OF WEINGARTEN TYPE IN 4-DIMENSIONAL EUCLIDEAN SPACE E4”. Konuralp Journal of Mathematics 4/1 (April 1, 2016): 239-245. https://izlik.org/JA96MY45SZ.
JAMA
1.Öztürk G, Bulca B, Bayram BK, Arslan K. MERIDIAN SURFACES OF WEINGARTEN TYPE IN 4-DIMENSIONAL EUCLIDEAN SPACE E4. Konuralp J. Math. 2016;4:239–245.
MLA
Öztürk, Günay, et al. “MERIDIAN SURFACES OF WEINGARTEN TYPE IN 4-DIMENSIONAL EUCLIDEAN SPACE E4”. Konuralp Journal of Mathematics, vol. 4, no. 1, Apr. 2016, pp. 239-45, https://izlik.org/JA96MY45SZ.
Vancouver
1.Günay Öztürk, Betül Bulca, Bengü K. Bayram, Kadri Arslan. MERIDIAN SURFACES OF WEINGARTEN TYPE IN 4-DIMENSIONAL EUCLIDEAN SPACE E4. Konuralp J. Math. [Internet]. 2016 Apr. 1;4(1):239-45. Available from: https://izlik.org/JA96MY45SZ
