Twistor and Reflector Spaces for Paraquaternionic Contact Manifolds

Stefan Ivanov (), Ivan Minchev and Marina Tchomakova
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Stefan Ivanov: Faculty of Mathematics and Informatics, University of Sofia, Blvd. James Bourchier 5, 1164 Sofia, Bulgaria
Ivan Minchev: Faculty of Mathematics and Informatics, University of Sofia, Blvd. James Bourchier 5, 1164 Sofia, Bulgaria
Marina Tchomakova: Faculty of Mathematics and Informatics, University of Sofia, Blvd. James Bourchier 5, 1164 Sofia, Bulgaria

Mathematics, 2024, vol. 12, issue 21, 1-21

Abstract: We consider certain fiber bundles over paraquaternionic contact manifolds, called twistor and reflector spaces. We show that the twistor space carries an integrable CR structure (Cauchy–Riemann structure) and the reflector space is an integrable para-CR structure, both with neutral signatures.

Keywords: paraquaternionic; twistor; reflector; contact (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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