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- W2014148512 abstract "In this paper, contact metric manifolds whose characteristic vector field ξ is a harmonic vector field are called H-contact manifolds. We show that a (2n+1)-dimensional contact metric manifold is an H-contact manifold if and only if ξ is an eigenvector of the Ricci operator (J.C. González-Dávila and L. Vanhecke [J. Geom. 72 (2001) 65–76] proved this result for n=1). Consequently, the class of H-contact manifolds is very large. Moreover, we give some application about the topology of a compact H-contact manifold." @default.
- W2014148512 created "2016-06-24" @default.
- W2014148512 creator A5006488655 @default.
- W2014148512 date "2004-05-01" @default.
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- W2014148512 title "Contact metric manifolds whose characteristic vector field is a harmonic vector field" @default.
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- W2014148512 doi "https://doi.org/10.1016/j.difgeo.2003.12.007" @default.
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