8 citations · 32 across the 14 of their papers we have counts for
16 papers
A pseudodifferential calculus for maximally hypoelliptic operators and the Helffer-Nourrigat conjecture
Iakovos Androulidakis, Omar Mohsen, Robert Yuncken
We extend the classical regularity theorem of elliptic operators to maximally hypoelliptic differential operators. More precisely, given vector fields on a smooth…
Coordinates for non-integrable Lie algebroids
Iakovos Androulidakis
We construct local coordinates for the Weinstein groupoid of a non-integrable Lie algebroid. To this end, we reformulate the notion of bi-submersion in a completely algebraic way a…
Laplacians on generalized smooth distributions as -algebra multipliers
Iakovos Androulidakis, Yuri A. Kordyukov
In this paper, we discuss spectral properties of Laplacians associated with an arbitrary smooth distribution on a compact manifold. First, we give a survey of results on generalize…
Riemannian metrics and Laplacians for generalised smooth distributions
Iakovos Androulidakis, Yuri Kordyukov
We show that any generalised smooth distribution on a smooth manifold, possibly of non-constant rank, admits a Riemannian metric. Using such a metric, we attach a Laplace operator…
Singular subalgebroids
Marco Zambon, Iakovos Androulidakis
We introduce singular subalgebroids of an integrable Lie algebroid, extending the notion of Lie subalgebroid by dropping the constant rank requirement. We lay the bases of a Lie th…
Integrable lifts for transitive Lie algebroids
Iakovos Androulidakis, Paolo Antonini
Inspired by the work of Molino, we show that the integrability obstruction for transitive Lie algebroids can be made to vanish by adding extra dimensions. In particular, we prove t…