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arXiv · 1405.1342

Canonical Cartan connection for $5$-dimensional CR-manifolds belonging to general class ${\sf III_2}$

Samuel Pocchiola
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Abstract

We study the equivalence problem for CR-manifolds belonging to general class III_2, i.e. the 5-dimensional CR-manifolds of CR-dimension 1 and codimension 3 whose CR-bundle satisfies a certain degeneracy condition. For such a CR-manifold M, we construct a canonical Cartan connection on a 6-dimensional principal bundle P on M. This provides a complete set of biholomorphic invariants for M.

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Samuel Pocchiola. 2014-05-05. Canonical Cartan connection for $5$-dimensional CR-manifolds belonging to general class ${\sf III_2}$. https://arxiv.org/abs/1405.1342

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