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On Legendre curves in contact pseudo-Hermitian 3-manifolds. (English) Zbl 1185.53048

Summary: We find necessary and sufficient conditions for a Legendre curve in a Sasakian manifold to have: (i) a pseudo-Hermitian parallel mean curvature vector field; (ii) a pseudo-Hermitian proper mean curvature vector field in the normal bundle.

MSC:

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