Geodesic
The Dimension Conjecture: Solution and Future Prospects
Matematičeskie zametki, Tome 112 (2022) no. 5, pp. 784-800.

Voir la notice de l'article provenant de la source Math-Net.Ru

Counterexamples to the dimension conjecture in CR geometry are constructed. This conjecture is organically related to the model surface method; it was refined as the method was developed. On the one hand, these counterexamples give a final negative solution of the conjecture in its original setting. On the other hand, they make it possible to distinguish a natural class of manifolds (nondegenerate manifolds) for which the conjecture makes sense and is of interest. The main questions arising in this direction are formulated. A series of examples interesting from the point of view of the model surface method are considered.
Keywords: CR manifold, Bloom–Graham type.
Mots-clés : automorphism 
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M. A. Stepanova. The Dimension Conjecture: Solution and Future Prospects. Matematičeskie zametki, Tome 112 (2022) no. 5, pp. 784-800. http://geodesic.mathdoc.fr/item/MZM_2022_112_5_a10/

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