Departmental Bulletin Paper ON FIVE DIMENSIONAL SASAKIAN LIE ALGEBRAS WITH TRIVIAL CENTER

Loiudice, Eugenia  ,  Lotta, Antonio

55 ( 1 )  , pp.39 - 49 , 2018-01 , Osaka University and Osaka City University, Departments of Mathematics
ISSN:00306126
NCID:AA00765910
Description
We show that every five-dimensional Sasakian Lie algebra with trivial center is φ-symmetric. Moreover starting from a particular Sasakian structure on the Lie group S L(2, ℝ) × Aff(ℝ) we obtain a family of contact metric (k, μ) structures whose Boeckx invariants assume all values less than −1.
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