Semi-Riemannian hypersurfaces in manifolds with metric mixed 3-structures
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The mixed 3-structures are the counterpart of paraquaternionic structures in odd dimension. A compatible metric with a mixed 3-structure is necessarily semi-Riemann and mixed 3-Sasakian manifolds are Einstein. We investigate the differential geometry of the semi-Riemannian hypersurfaces of co-index both 0 and 1 in a manifold endowed with a mixed 3-structure and a compatible metric.
Key words and phrasesnon-degenerate hypersurface mixed 3-structure Einstein manifold
2000 Mathematics Subject Classification53C15 53C50 53C40 53C12
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