6 citations · 30 across the 17 of their papers we have counts for
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Holomorphic normal forms of six-dimensional totally nondegenerate CR manifolds in C^5
Masoud Sabzevari
The class of six-dimensional totally nondegenerate CR submanifolds in contains an infinite number of models parameterized by nonzero pairs $(a, b)\in\mathbb C\times\m…
Convergent normal forms for five dimensional totally nondegenerate CR manifolds in C^4
Masoud Sabzevari
Applying the equivariant moving frames method, we construct convergent normal forms for real-analytic 5-dimensional totally nondegenerate CR submanifolds of C^4. These CR manifolds…
On the maximum conjecture
Masoud Sabzevari
We verify the maximum conjecture on the rigidity of totally nondegenerate model CR manifolds in the following two cases: (i) for all models of CR dimension one (ii) for the so-call…
On the geometric order of totally nondegenerate CR manifolds
Masoud Sabzevari, Andrea Spiro
A CR manifold , with CR distribution , is called {\it totally nondegenerate of depth } if: (a) the complex tangent space …
Moduli spaces of model real submanifolds: two alternative approaches
Masoud Sabzevari
Instead of the invariant theory approach employed by Beloshaoka and Mamai for constructing the moduli spaces of Beloshapka's universal CR-models, we consider two alternative approa…
Canonical Cartan Connections on Maximally Minimal Generic Submanifolds M^5 in C^4
Joel Merker, Samuel Pocchiola, Masoud Sabzevari
On a real analytic 5-dimensional CR-generic submanifold M^5 in C^4 of codimension 3, hence of CR dimension 1, which enjoys the generically satisfied nondegeneracy condition that Li…
Cartan equivalences for 5-dimensional CR-manifolds in C^4 belonging to General Class III_1
Masoud Sabzevari, Joel Merker
We reduce to various absolute parallelisms, namely to certain {e}-structures on manifolds of dimensions 7, 6, 5, the biholomorphic equivalence problem or the intrinsic CR equivalen…
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
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 i…