논문KCI 등재
C-parallel Mean Curvature Vector Fields along Slant Curvesin Sasakian 3-manifolds
2
조회
0
다운로드
3
인용
0
참고문헌
키워드
주제분류수학
초록
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)
- J. Arroyo, "it A characterisation of Helices and Cornu spirals in real space forms", Bull. Austral. Math. Soc., 56(1), pp.37~44 (1997)
- C. Baikoussis, "On Legendre curves in contact 3-manifolds", Geom. Dedicata, 49, pp.135~142 (1994)
- M. Barros, "On submanifolds with harmonic mean curvature", Proc. Amer. Math. Soc., 123, pp.2545~2549 (1995)
- D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds", Progress in Math. (2002)
- D. E. Blair, "Calabi curves as holomorphic Legendre curves and Chen's inequality", Kyunpook Math. J., 35, pp.407~416 (1996)
- 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)
- 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)
- B. Y. Chen, "Some open problems and conjectures on submanifolds of finite type", Soo- chow J. Math., 17(2), pp.169~188 (1991)
- B. Y. Chen, "Some classication theorems for submanifolds in Minkowski space-time", Arch. Math. (Basel), 62, pp.177~182 (1994)
- J. T. Cho, "Slant curves in Sasakian 3-manifolds", Bull. Aust. Math. Soc, 74(3), pp.359~367 (2006)
- 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
- J. T. Cho, "Biharmonic curves in Sasakian space forms", Ann. Mat. Pura Appl., 186, pp.685~701 (2007)
- J. Inoguchi, "Submanifolds with harmonic mean curvature vector eld in contact 3- manifolds", Colloq. Math., 100, pp.163~179 (2004)
- J.-E. Lee, "On Legendre curves in contact pseudo-Hermitian 3-manifolds", Bull. Aust. Math. Soc, 78(3), pp.383~396 (2010)
- C. Ozgur, "On Legendre curves in α-Sasakian manifolds", Bull. Malays. Math. Sci. Soc., 31(2), pp.91~96 (2008)
- 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)
관련 논문AI추천
Slant curves in 3-dimensional almost f-Kenmotsu manifolds이지은, Jun-ichi Inoguchi대한수학회 · 대한수학회논문집2017 · 제32권 제2호On slant curves in $S$-manifoldsCihan Ozgur, Saban Guvenc대한수학회 · 대한수학회논문집2018 · 제33권 제1호Biharmonic curves in $3$-dimensional Lorentzian Sasakian space forms이지은대한수학회 · 대한수학회논문집2020 · 제35권 제3호Shape operator of slant submanifolds in Sasakian space forms김영호, 윤대원, 이철우대한수학회 · 대한수학회보2003 · 제40권 제1호SLANT LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD이재원, 진대호한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호Slant sub-manifolds of generalized Sasakian-space-formsG. SOMASHEKHARA, K. SHIVASHANKARA, N. PAVANI, P. SIVA KOTA REDDY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2022 · 제25권 제1호
이 간행물의 다른 논문 (9건)
Four-dimensional Naturally Reductive Pseudo-Riemannian Homogeneous SpacesBarbara De Leopp. 1-11Five Cycles are Highly Ramsey Infinite시거스, 마크 할버pp. 13-20On Certain Class of Multivalent Functions Involving the Cho-Kwon-Srivastava OperatorJamal Mohammad Shenanpp. 21-32On a Certain Integral OperatorSaurabh Porwal, Muhammed Kamal Aoufpp. 33-38Further Results about the Normal Family of Meromorphic Functions and Shared SetsJianming Qi, Linlin Zhou, Guowei Zhangpp. 39-47
