5 citations · 24 across the 26 of their papers we have counts for
30 papers
The Levi -core and Property ()
Gian Maria Dall'Ara, Samuele Mongodi, John N. Treuer
We introduce the Grassmannian -core of a distribution of subspaces of the tangent bundle of a smooth manifold. This is a generalization of the concept of the core previously int…
The -exponential as a covering map
Amedeo Altavilla, Samuele Mongodi
We employ tools from complex analysis to construct the -logarithm of a quaternionic slice regular function. Our approach enables us to achieve three main objectives: we compute…
Sharp subelliptic estimates in the -Neumann problem via an uncertainty principle
Gian Maria Dall'Ara, Samuele Mongodi
The problem of giving a (CR-)geometric description of the best possible order of a subelliptic estimate at a boundary point in the -Neumann problem is largely open. I…
Remarks on the Levi core
Gian Maria Dall'Ara, Samuele Mongodi
We investigate a few aspects of the notion of Levi core, introduced by the authors in a previous work: a basic finiteness question, the connections with Kohn's algorithm and with C…
Generalized Levi currents and singular loci for families of plurisubharmonic functions
Fabrizio Bianchi, Samuele Mongodi
We show how the formalism of Levi currents on complex manifolds, as introduced by Sibony, can be used to study the analytic structure of singular sets associated to families of plu…
The core of the Levi distribution
Gian Maria Dall'Ara, Samuele Mongodi
We introduce a new geometrical invariant of CR manifolds of hypersurface type, which we dub the "Levi core" of the manifold. When the manifold is the boundary of a smooth bounded p…