Samuel Pocchiola

activity

20122014

most citedExplicit absolute parallelism for

2

-nondegenerate real hypersurfaces

M^{5} \subset C^{3}

of constant Levi rank

1

10 citations · 21 across the 6 of their papers we have counts for

collaborators

7 papers

math.CV2014★ 2 cited

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…

math.CV2014

Canonical Cartan connection for $5$ -dimensional CR-manifolds belonging to general class $II I_{2}$

Samuel Pocchiola

We study the equivalence problem for CR-manifolds belonging to general class III_2, i.e. the 5-dimensional CR-manifolds of CR-dimension 1 and codimension 3 whose CR-bundle satisfie…

math.CV2014★ 3 cited

Canonical Cartan connection for $4$ -dimensional CR-manifolds belonging to general class $II$

Samuel Pocchiola

We study the equivalence problem for $4$ -dimensional CR-manifolds of CR-dimension $1$ and codimension $2$ which are referred to as Engel CR-manifolds. We construct a canonical Cart…

math.CV2014

Lie algebras of infinitesimal automorphisms for the model manifolds of general classes $II$ , $II I_{2}$ and $I V_{2}$

Samuel Pocchiola

We determine the Lie algebras of infinitesimal automorphisms for the models of the CR-manifolds belonging to general classes $II$ , $II I_{2}$ and $I V_{2}$ through Cart…

math.CV2013★ 10 cited

Explicit absolute parallelism for $2$ -nondegenerate real hypersurfaces $M^{5} \subset C^{3}$ of constant Levi rank $1$

Samuel Pocchiola

We study the local equivalence problem for five dimensional real hypersurfaces $M^{5}$ of $C^{3}$ which are $2$ -nondegenerate and of constant Levi rank $1$ under biholomorphis…

math.CV2013★ 6 cited

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…

Canonical Cartan Connections on Maximally Minimal Generic Submanifolds M^5 in C^4

Canonical Cartan connection for 5-dimensional CR-manifolds belonging to general class III2​

Canonical Cartan connection for 4-dimensional CR-manifolds belonging to general class II

Lie algebras of infinitesimal automorphisms for the model manifolds of general classes II, III2​ and IV2​

Explicit absolute parallelism for 2-nondegenerate real hypersurfaces M5⊂C3 of constant Levi rank 1

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

Canonical Cartan connection for $5$ -dimensional CR-manifolds belonging to general class $II I_{2}$

Canonical Cartan connection for $4$ -dimensional CR-manifolds belonging to general class $II$

Lie algebras of infinitesimal automorphisms for the model manifolds of general classes $II$ , $II I_{2}$ and $I V_{2}$

Explicit absolute parallelism for $2$ -nondegenerate real hypersurfaces $M^{5} \subset C^{3}$ of constant Levi rank $1$