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ON LEGENDRE CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS

  • JI-EUN LEE (a1)
Abstract
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.

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References
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[1]Arslan K. and Ozgur C., ‘Curves and surfaces of AW(k) type’, in: Geometry and Topology of Submanifolds, IX (Valenciennes/Lyon/Leuven, 1997) (World Scientific, River Edge, NJ, 1999), pp. 2126.
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[7]Ozgur C. and Tripathi M. M., ‘On Legendre curves in α-Sasakian manifolds’, Bull. Malays. Math. Sci. Soc. (2) 31(1) (2008), 9196.
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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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