## On the characterization of spherical curves in 3-dimensional Sasakian spaces.(English)Zbl 1136.53043

Summary: We give the spherical characterization of a regular curve in 3-dimensional Sasakian space. Furthermore the differential equation which expresses the mentioned characterization is solved.

### MSC:

 53C40 Global submanifolds 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)

### Keywords:

Sasakian manifolds; Legendre curves; spherical curve
Full Text:

### References:

 [1] Baikousis, C.; Blair, D.E., On Legendre curves in contact 3-manifolds, Geom. dedicata, 49, 135-142, (1994) · Zbl 0799.53040 [2] Belkhelfa, M.; Hırıca, I.E.; Rosca, R.; Verstraelen, L., On Legendre curves in riemannian and Lorentzian Sasaki spaces, Soochow J. math., 28, 11, 81-91, (2002) · Zbl 1013.53016 [3] Blair, D.E., Contact manifolds in Riemannian geometry, Lecture notes in math., vol. 509, (1976), Springer Berlin · Zbl 0319.53026 [4] Breuer, S.; Gottlieb, D., Separation of roots and oscillation in ordinary linear differential equations of second order, Proc. amer. math. soc., 29, 487-493, (1971) · Zbl 0224.34024 [5] Ilarslan, K.; Camci, C.; Kocayigit, H.; Hacisalihoglu, H.H., On the explicit characterization of spherical curves in 3-dimensional Lorentzian space $$\mathbb{L}^3$$, J. inverse ill-posed probl., 11, 4, 389-397, (2003) · Zbl 1050.53004 [6] Yano, K.; Kon, M., Structure on manifolds, Ser. pure math., vol. 3, (1963)
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