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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 1,309 - 1,320 (12page)
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In this paper, we show that proper biharmonic spacelike curve $\gamma$ in Lorentzian Heisenberg space $(\mathbb{H}_3, g)$ is pseudo-helix with \linebreak ${\kappa}^2 -{\tau}^2 = -1+4\eta(B)^2.$ Moreover, $\gamma$ has the spacelike normal vector field and is a slant curve. Finally, we find the parametric equations of them.
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참고문헌 (12)
참고문헌 신청
D. E. Blair / 2002 / Riemannian Geometry of Contact and Symplectic Manifolds / Birkhauser Boston, Inc.
G. Calvaruso / 2011 / Contact Lorentzian manifolds / Differential Geom. Appl 29(suppl. 1):S41~S51
B. -Y. Chen / 1991 / Biharmonic surfaces in pseudo-Euclidean spaces / Mem. Fac. Sci. Kyushu Univ. Ser. A 45(2):323~347
J. T. Cho / 2006 / On slant curves in Sasakian 3-manifolds / Bull. Austral. Math. Soc 74(3):359~367
J. T. Cho / 2007 / Biharmonic curves in 3-dimensional Sasakian space forms / Ann. Mat. Pura Appl. 186(4):685~701
G. Calvaruso / 2011 / Contact Lorentzian manifolds / Differential Geom. Appl 29(suppl. 1):S41~S51
B. -Y. Chen / 1991 / Biharmonic surfaces in pseudo-Euclidean spaces / Mem. Fac. Sci. Kyushu Univ. Ser. A 45(2):323~347
J. T. Cho / 2006 / On slant curves in Sasakian 3-manifolds / Bull. Austral. Math. Soc 74(3):359~367
J. T. Cho / 2007 / Biharmonic curves in 3-dimensional Sasakian space forms / Ann. Mat. Pura Appl. 186(4):685~701
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