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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Publication Details

Journal
Mathematics
Published
2024-10-25
DOI
https://doi.org/10.3390/math12213355
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
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article

Twistor and Reflector Spaces for Paraquaternionic Contact Manifolds

Stefan Ivanov, Marina Tchomakova, Ivan Minchev
Mathematics
Geometric Analysis and Curvature Flows
article

Twistor and Reflector Spaces for Paraquaternionic Contact Manifolds

Stefan Ivanov, Marina Tchomakova, Ivan Minchev
article en

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.

MathematicsVol. 12(21)
Bulgarian Academy of Sciences (BG), Institute of Mathematics and Informatics (BG), Sofia University "St. Kliment Ohridski" (BG)
Openalex Percentile: Top 68%
Geometric Analysis and Curvature Flows
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