3 citations · 5 across the 5 of their papers we have counts for
7 papers
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…
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 …
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…
Applications of differential algebra for computing Lie algebras of infinitesimal CR-automorphisms
Masoud Sabzevari, Amir Hashemi, Benyamin M. -Alizadeh +1
We perform detailed computations of Lie algebras of infinitesimal CR-automorphisms associated to three specific model real analytic CR-generic submanifolds in C^9 by employing diff…