논문KCI 등재
On slant curves in $S$-manifolds
대한수학회 (The Korean Mathematical Society)|2018.01|대한수학회논문집 (Communications of the KMS)|제33권 제1호|pp. 293-303
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In this paper, we consider biharmonic slant curves in $S$-space forms. We obtain a main theorem, which gives us four different cases to find curvature conditions for these curves. We also give examples of slant curves in $\mathbb{R}^{2n+s}(-3s)$.
Abstract
In this paper, we consider biharmonic slant curves in $S$-space forms. We obtain a main theorem, which gives us four different cases to find curvature conditions for these curves. We also give examples of slant curves in $\mathbb{R}^{2n+s}(-3s)$.
참고문헌 (16)
- C. Baikoussis, "On Legendre curves in contact 3-manifolds", Geom. Dedicata, 49(2), pp.135~142 (1994)[DOI]
- D. E. Blair, "Geometry of manifolds with structural group <TEX>$U(n){\times}O(s)$<", TEX>, 1970, pp.4, 155~167
- J. L. Cabrerizo, "The curvature of submanifolds of an S-space form", Acta Math. Hungar., 62(3-4), pp.373~383 (1993)[DOI]
- B.-Y. Chen, "A report on submanifolds of finite type", Soochow J. Math., 22(2), pp.117~337 (1996)
- J. T. Cho, "On slant curves in Sasakian 3-manifolds", Bull. Austral. Math. Soc., 74(3), pp.359~367 (2006)[DOI]
- J. Eells, "Selected topics in harmonic maps", CBMS Regional Conference Series in Mathematics, 50 (1983), Conference Board of the Mathematical Sciences
- J. Eells, "Harmonic mappings of Riemannian manifolds", Amer. J. Math., 86, pp.109~160 (1964)[DOI]
- Dorel Fetcu, "Biharmonic Legendre curves in Sasakian space forms", 대한수학회지, 45(2), pp.393~404 (2008), 대한수학회
- D. Fetcu, "Explicit formulas for biharmonic submanifolds in Sasakian space forms", Pacific J. Math., 240(1), pp.85~107 (2009)[DOI]
- I. Hasegawa, "On pth Sasakian manifolds", J. Hokkaido Univ. Ed. Sect. II A, 37(1), pp.1~16 (1986)
- G. Y. Jiang, "2-harmonic maps and their first and second variational formulas", Chinese Ann. Math. Ser. A, 7(4), pp.389~402 (1986)
- 김정식, "Ricci curvature of integral submanifolds of an $\mathcal{S}$-space form", 대한수학회보, 44(3), pp.395~406 (2007), 대한수학회
- H. Nakagawa, "On framed f-manifolds", Kodai Math. Sem. Rep., 18, pp.293~306 (1966)[DOI]
- C. Ozgur, "On biharmonic Legendre curves in S-space forms", Turkish J. Math., 38(3), pp.454~461 (2014)[DOI]
- J. Vanzura, "Almost r-contact structures", Ann. Scuola Norm. Sup. Pisa, 26(3), pp.97~115 (1972)
- K. Yano, "Structures on Manifolds;Series in Pure Mathematics", pp.3~ (1984), World Scientific Publishing Co.
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