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- W4288799114 abstract "We study positive definite quaternionic contact $(4n+3)$-manifolds ($qc$-manifold for short). Just like the $CR$-structure contains the class of Sasaki manifolds, the $qc$-structure admits a class of $3$-Sasaki manifolds with integrable distribution isomorphic to $mathfrak{su}(2)$. A big difference concerning the integrable complementary $qc$-distribution $V$ of the $qc$-structure from $3$-Sasaki structure is the existence of Lie algebra not isomorphic to $mathfrak{su}(2)$. We take up non-compact $qc$-manifolds to find out a salient feature of topology and geometry in case $V$ generates the $qc$-transformations $R^3$." @default.
- W4288799114 created "2022-07-30" @default.
- W4288799114 creator A5066848630 @default.
- W4288799114 date "2019-02-23" @default.
- W4288799114 modified "2023-09-29" @default.
- W4288799114 title "Quaternionic contact structure with integrable complementary distribution" @default.
- W4288799114 doi "https://doi.org/10.48550/arxiv.1902.08796" @default.
- W4288799114 hasPublicationYear "2019" @default.
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