ON LEGENDRE CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS

Publisher: Cambridge University Press

E-ISSN: 1755-1633|81|1|156-164

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.81, Iss.1, 2010-01, pp. : 156-164

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Abstract

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.