Twistor and Reflector Spaces for Paraquaternionic Contact Manifolds

Twistor and Reflector Spaces for Paraquaternionic Contact Manifolds

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.

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Veröffentlicht in:Mathematics (Basel) 2024-11, Vol.12 (21), p.3355
Hauptverfasser: Ivanov, Stefan, Minchev, Ivan, Tchomakova, Marina
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
contact
Geometry
Manifolds
paraquaternionic
reflector
twistor
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Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math12213355