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Equivalences of 5-dimensional CR manifolds III: Six models and elementary normalizations

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arxiv 1311.7522 v2 pith:N73YVPXH submitted 2013-11-29 math.CV math.DG

Joel Merker (LM-Orsay) This is my paper · ORCID
classification math.CVmath.DG
keywords dimensionalmanifoldsadvancedclassesconditionsdefiningelementarilyelementary
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The six nondegeneracy conditions of geometric nature that are satisfied by the only six possibly existing nondegenerate general classes I, II, III-1, III-2, IV-1, IV-2 of 5-dimensional CR manifolds are shown to be readable instantaneously from their elementarily normalized respective defining graphed equations, without advanced Moser theory.

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  1. Holomorphic immersions of bi-disks into $9$ dimensional real hypersurfaces with Levi signature $(2, 2)$

    math.DG 2019-08 conditional novelty 6.0 of 10

    Holomorphic bi-disks in 9-dimensional CR hypersurfaces with Levi signature (2,2) must satisfy two complex torsion equations, and a concrete hypersurface is shown to violate one of them.

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