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arXiv · 1311.5669

Equivalences of 5-dimensional CR manifolds (II): General classes I, II, III-1, III-2, IV-1, IV-2

Joel Merker·Samuel Pocchiola·Masoud Sabzevari
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Abstract

For later use in subsequent upcoming arxiv.org prepublications, basic foundational material on local, smooth or real analytic, CR-generic submanifolds of complex Euclidean spaces is developed from scratch, with strong emphasis on the interplay between extrinsic and intrinsic aspects, a constructive option that commands to perform computational syntheses in coordinates. Mainly, one finds a self-contained proof of the existence of precisely six general classes: I, II, III-1, III-2, IV-1, IV-2 of nondegenerate general CR manifolds up to dimension 5, class III-2 being unobserved untill now.

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Joel Merker, Samuel Pocchiola, Masoud Sabzevari. 2013-11-22. Equivalences of 5-dimensional CR manifolds (II): General classes I, II, III-1, III-2, IV-1, IV-2. https://arxiv.org/abs/1311.5669

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