b-m1 DEVELOPABLE SURFACES OF BIHARMONIC NEW TYPE b-SLANT HELICES ACCORDING TO BISHOP FRAME IN THE SOL SPACE Sol3

Volume: 2 Number: 2 December 1, 2012
  • Talat Korpinar
  • Essin Turhan
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

  1. Bishop, L. R., (1975), There is More Than One Way to Frame a Curve, Amer. Math. Monthly, 82(3), 251.
  2. Bodduluri, R. M. C. and Ravani, B., (1992), Geometric design and fabrication of developable surfaces
  3. 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.
  4. Dimitric, I., (1992), Submanifolds ofEmwith harmonic mean curvature vector, Bull. Inst. Math. Acad. Sinica, 20, 53-65.
  5. Eells, J. and Lemaire, L., (1978), A report on harmonic maps, Bull. London Math. Soc., 10, 1-68.
  6. Eells, J. and Sampson, J. H., (1964), Harmonic mappings of Riemannian manifolds, Amer. J. Math., , 109-160.
  7. Jiang, G. Y., (1986), 2-harmonic isometric immersions between Riemannian manifolds, Chinese Ann. Math. Ser. A, 7(2), 130-144.
  8. 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

-

Journal Section

-

Authors

Talat Korpinar This is me

Essin Turhan This is me

Publication Date

December 1, 2012

Submission Date

-

Acceptance Date

-

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