The Newman-Penrose formalism is adapted to three-dimensional almost contact metric manifolds to restate known properties and classify compact normal cases with η-Einstein metrics.
”On tr ans-Sasakian 3- manifolds as η-Einstein solitons.” arXiv preprint arXiv:2104.04791 (2021)
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Three-Dimensional Almost Contact Metric Manifolds Revisited via the Newman-Penrose Formalism
The Newman-Penrose formalism is adapted to three-dimensional almost contact metric manifolds to restate known properties and classify compact normal cases with η-Einstein metrics.