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- W2233746909 abstract "We apply E. Cartan's method of equivalence to classify 7-dimensional, 2-nondegenerate CR manifolds $M$ up to local CR equivalence in the case that the cubic form of $M$ satisfies a certain symmetry property with respect to the Levi form of $M$. The solution to the equivalence problem is given by a parallelism on a principal bundle over $M$. When the nondegenerate part of the Levi form has definite signature, the parallelism takes values in $mathfrak{su}(2,2)$. When this signature is split and an additional isotropy-switching hypothesis is satisfied, the parallelism takes values in $mathfrak{su}(3,1)$. Differentiating the parallelism provides a complete set of local invariants of $M$. We exhibit an explicit example of a real hypersurface in $mathbb{C}^4$ whose invariants are nontrivial." @default.
- W2233746909 created "2016-06-24" @default.
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- W2233746909 date "2015-11-12" @default.
- W2233746909 modified "2023-09-27" @default.
- W2233746909 title "The Local Equivalence Problem for 7-Dimensional, 2-Nondegenerate CR Manifolds whose Cubic Form is of Conformal Unitary Type" @default.
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