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- W1990526335 abstract "Modelled on a real hypersurface in a quaternionic manifold, we introduce a quaternionic analogue of CR structure, called quaternionic CR structure. We define the strong pseudoconvexity of this structure as well as the notion of quaternionic pseudohermitian structure. Following the construction of the Tanaka-Webster connection in complex CR geometry, we construct a canonical connection associated with a quaternionic pseudohermitian structure, when the underlying quaternionic CR structure satisfies the ultra-pseudoconvexity which is stronger than the strong pseudoconvexity. Comparison to Biquard's quaternionic contact structure is also made." @default.
- W1990526335 created "2016-06-24" @default.
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- W1990526335 date "2013-02-14" @default.
- W1990526335 modified "2023-09-24" @default.
- W1990526335 title "Quaternionic CR Geometry" @default.
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- W1990526335 doi "https://doi.org/10.48550/arxiv.1302.3659" @default.
- W1990526335 hasPublicationYear "2013" @default.
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