6 citations · 30 across the 17 of their papers we have counts for
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Complete normal forms for real hypersurfaces in at 2-nondegenerate points of Levi non-uniform rank zero
Masoud Sabzevari
We construct complete normal forms for -dimensional real hypersurfaces in which are -nondegenerate and also of Levi non-uniform rank zero at the origin point ${…
Normal forms, moving frames, and differential invariants for nondegenerate hypersurfaces in C^2
Peter J. Olver, Masoud Sabzevari, Francis Valiquette
We use the method of equivariant moving frames to revisit the problem of normal forms and equivalence of nondegenerate real hypersurfaces M \subset C^2 under the pseudo-group actio…
The rigidity of totally nondegenerate model CR manifolds
Masoud Sabzevari, Amir Hashemi
In this paper, we prove that every real analytic totally nondegenerate model CR manifold of length >= 3 has rigidity. This result was actually conjectured before by Valerii Belosha…
Totally nondegenerate models and standard manifolds in CR dimension one
Masoud Sabzevari
It is shown that two Levi-Tanaka and infinitesimal CR automorphism algebras, associated with a totally nondegenerate model of CR dimension one are isomorphic. As a result, the mode…
Biholomorphic equivalence to totally nondegenerate model CR manifolds and Beloshapka's maximum conjecture
Masoud Sabzevari
Applying Elie Cartan's classical method, we show that the biholomorphic equivalence problem to a totally nondegenerate Beloshapka's model of CR dimension one and codimension …
Cartan equivalences for Levi-nondegenerate hypersurfaces M^3 in C^2 belonging to General Class I
Masoud Sabzevari, Joel Merker
We develope in great computational details the classical Cartan equivalence problem for Levi-nondegenerate C^6-smooth real hypersurfaces M^3 in C^2, performing all calculations eff…
Lie algebras of infinitesimal CR-automorphisms of finite type, holomorphically nondegenerate, weighted homogeneous CR-generic submanifolds of C^N
Masoud Sabzevari, Amir Hashemi, Benyamin M. -Alizadeh +1
We consider the significant class of holomorphically nondegenerate CR manifolds of finite type that are represented by some weighted homogeneous polynomials and we derive some usef…