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C-parallel Mean Curvature Vector Fields along Slant Curvesin Sasakian 3-manifolds

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In this article, using the example of C. Camci([7]) we reconfirm necessary sufficient condition for a slant curve. Next, we find some necessary and sufficient conditions for a slant curve in a Sasakian 3-manifold to have: (i) a C-parallel mean curvature vector field; (ii) a C-proper mean curvature vector field (in the normal bundle).

Abstract

In this article, using the example of C. Camci([7]) we reconfirm necessary sufficient condition for a slant curve. Next, we find some necessary and sufficient conditions for a slant curve in a Sasakian 3-manifold to have: (i) a C-parallel mean curvature vector field; (ii) a C-proper mean curvature vector field (in the normal bundle).

참고문헌 (16)

  1. J. Arroyo, "it A characterisation of Helices and Cornu spirals in real space forms", Bull. Austral. Math. Soc., 56(1), pp.37~44 (1997)
  2. C. Baikoussis, "On Legendre curves in contact 3-manifolds", Geom. Dedicata, 49, pp.135~142 (1994)
  3. M. Barros, "On submanifolds with harmonic mean curvature", Proc. Amer. Math. Soc., 123, pp.2545~2549 (1995)
  4. D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds", Progress in Math. (2002)
  5. D. E. Blair, "Calabi curves as holomorphic Legendre curves and Chen's inequality", Kyunpook Math. J., 35, pp.407~416 (1996)
  6. R. Caddeo, "Explicit formulas for biharmonic non-geodesic curves of the Heisenberg group", Rend. Sem. Mat. Univ. e Politec. Torino, 62(3), pp.265~278 (2004)
  7. C. Camci, "Extended cross product in a 3-dimensionsal almost contact metric manifold with applications to curve theory", Turk. J. Math., 35, pp.1~14 (2011)
  8. B. Y. Chen, "Some open problems and conjectures on submanifolds of finite type", Soo- chow J. Math., 17(2), pp.169~188 (1991)
  9. B. Y. Chen, "Some classi cation theorems for submanifolds in Minkowski space-time", Arch. Math. (Basel), 62, pp.177~182 (1994)
  10. J. T. Cho, "Slant curves in Sasakian 3-manifolds", Bull. Aust. Math. Soc, 74(3), pp.359~367 (2006)
  11. 조종택, "SLANT CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS", BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 78(3), pp.383~396, AUSTRALIAN MATHEMATICS PUBL ASSOC INC
  12. J. T. Cho, "Biharmonic curves in Sasakian space forms", Ann. Mat. Pura Appl., 186, pp.685~701 (2007)
  13. J. Inoguchi, "Submanifolds with harmonic mean curvature vector eld in contact 3- manifolds", Colloq. Math., 100, pp.163~179 (2004)
  14. J.-E. Lee, "On Legendre curves in contact pseudo-Hermitian 3-manifolds", Bull. Aust. Math. Soc, 78(3), pp.383~396 (2010)
  15. C. Ozgur, "On Legendre curves in α-Sasakian manifolds", Bull. Malays. Math. Sci. Soc., 31(2), pp.91~96 (2008)
  16. S. Tanno, "Sur une variete de K-contact metrique de dimension 3, C. R", Acad. Sci. Paris Ser. A-B, 263, pp.317~319 (1966)

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