Quaternionic contact structure with integrable complementary distribution
| Autor: | Kamishima, Yoshinobu |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 $R^3$. Comment: 34 pages |
| Databáze: | arXiv |
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