EN
b-m1 DEVELOPABLE SURFACES OF BIHARMONIC NEW TYPE b-SLANT HELICES ACCORDING TO BISHOP FRAME IN THE SOL SPACE Sol3
Abstract
In this paper, we study b−m1 developable surfaces of biharmonic new type b−slant helix in the Sol3 . We characterize the b−m1 developable surfaces in terms of their Bishop curvatures. Finally, we find out their explicit parametric equations in the Sol3 .
Keywords
References
- Bishop, L. R., (1975), There is More Than One Way to Frame a Curve, Amer. Math. Monthly, 82(3), 251.
- Bodduluri, R. M. C. and Ravani, B., (1992), Geometric design and fabrication of developable surfaces
- ASME Adv. Design Autom., 2, 243-250. Dillen, F. and Kuhnel, W., (1999), Ruled Weingarten surfaces in Minkowski 3-space, Manuscripta Math., 98, 307-320.
- Dimitric, I., (1992), Submanifolds ofEmwith harmonic mean curvature vector, Bull. Inst. Math. Acad. Sinica, 20, 53-65.
- Eells, J. and Lemaire, L., (1978), A report on harmonic maps, Bull. London Math. Soc., 10, 1-68.
- Eells, J. and Sampson, J. H., (1964), Harmonic mappings of Riemannian manifolds, Amer. J. Math., , 109-160.
- Jiang, G. Y., (1986), 2-harmonic isometric immersions between Riemannian manifolds, Chinese Ann. Math. Ser. A, 7(2), 130-144.
- K¨orpınar, T. and Turhan, E., Biharmonic new type b-slant helices according to Bishop frame in the sol space, submitted. Lancret, M. A., (1806), Memoire sur les courbes ‘a double courbure, Memoires presentes alInstitut, , 416-454. Loubeau, E. and Montaldo, S., (2004)
Details
Primary Language
English
Subjects
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Journal Section
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Publication Date
December 1, 2012
Submission Date
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Acceptance Date
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Published in Issue
Year 2012 Volume: 2 Number: 2
APA
Korpinar, T., & Turhan, E. (2012). b-m1 DEVELOPABLE SURFACES OF BIHARMONIC NEW TYPE b-SLANT HELICES ACCORDING TO BISHOP FRAME IN THE SOL SPACE Sol3. TWMS Journal of Applied and Engineering Mathematics, 2(2), 178-184. https://izlik.org/JA94RT26GU
AMA
1.Korpinar T, Turhan E. b-m1 DEVELOPABLE SURFACES OF BIHARMONIC NEW TYPE b-SLANT HELICES ACCORDING TO BISHOP FRAME IN THE SOL SPACE Sol3. JAEM. 2012;2(2):178-184. https://izlik.org/JA94RT26GU
Chicago
Korpinar, Talat, and Essin Turhan. 2012. “B-M1 DEVELOPABLE SURFACES OF BIHARMONIC NEW TYPE B-SLANT HELICES ACCORDING TO BISHOP FRAME IN THE SOL SPACE Sol3”. TWMS Journal of Applied and Engineering Mathematics 2 (2): 178-84. https://izlik.org/JA94RT26GU.
EndNote
Korpinar T, Turhan E (December 1, 2012) b-m1 DEVELOPABLE SURFACES OF BIHARMONIC NEW TYPE b-SLANT HELICES ACCORDING TO BISHOP FRAME IN THE SOL SPACE Sol3. TWMS Journal of Applied and Engineering Mathematics 2 2 178–184.
IEEE
[1]T. Korpinar and E. Turhan, “b-m1 DEVELOPABLE SURFACES OF BIHARMONIC NEW TYPE b-SLANT HELICES ACCORDING TO BISHOP FRAME IN THE SOL SPACE Sol3”, JAEM, vol. 2, no. 2, pp. 178–184, Dec. 2012, [Online]. Available: https://izlik.org/JA94RT26GU
ISNAD
Korpinar, Talat - Turhan, Essin. “B-M1 DEVELOPABLE SURFACES OF BIHARMONIC NEW TYPE B-SLANT HELICES ACCORDING TO BISHOP FRAME IN THE SOL SPACE Sol3”. TWMS Journal of Applied and Engineering Mathematics 2/2 (December 1, 2012): 178-184. https://izlik.org/JA94RT26GU.
JAMA
1.Korpinar T, Turhan E. b-m1 DEVELOPABLE SURFACES OF BIHARMONIC NEW TYPE b-SLANT HELICES ACCORDING TO BISHOP FRAME IN THE SOL SPACE Sol3. JAEM. 2012;2:178–184.
MLA
Korpinar, Talat, and Essin Turhan. “B-M1 DEVELOPABLE SURFACES OF BIHARMONIC NEW TYPE B-SLANT HELICES ACCORDING TO BISHOP FRAME IN THE SOL SPACE Sol3”. TWMS Journal of Applied and Engineering Mathematics, vol. 2, no. 2, Dec. 2012, pp. 178-84, https://izlik.org/JA94RT26GU.
Vancouver
1.Talat Korpinar, Essin Turhan. b-m1 DEVELOPABLE SURFACES OF BIHARMONIC NEW TYPE b-SLANT HELICES ACCORDING TO BISHOP FRAME IN THE SOL SPACE Sol3. JAEM [Internet]. 2012 Dec. 1;2(2):178-84. Available from: https://izlik.org/JA94RT26GU