Generalized Eta-Einstein and ( ,μ )-structures
Abstract
Generalized ( ,μ ) structures occur in dimension 3 only. In this dimension 3, only K-contact structures can occur as generalized Eta-Einstein. On closed manifolds, Eta-Einstein, K-contact structures which are not D-homothetic to Einstein structures are almost regular. We also construct examples of compact, generalized Jacobi ( ,μ )-structures.
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