Abstract
We consider the paracomplex geometry of the vertical bundle for a given manifold in relationship with paracomplex CR-structures by following the complex case studied by Bejancu (Tensor 46:361–364, 1987). Adding a neutral metric, the corresponding structures on the vertical bundle of submanifolds, particularly hypersurfaces, are also studied through their invariant and anti-invariant distributions.
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Crasmareanu, M., Pişcoran, LI. Weak Para-CR Structures on Vertical Bundles. Adv. Appl. Clifford Algebras 26, 1127–1136 (2016). https://doi.org/10.1007/s00006-016-0652-3
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DOI: https://doi.org/10.1007/s00006-016-0652-3