John N. Treuer

collaborators

3 papers

math.CV2026

Domains with Bergman metrics of constant curvature and Bergman-negligible subsets

Peter Ebenfelt, John N. Treuer, Ming Xiao

Let $D$ be a bounded domain in $C^{n}$ . Suppose the holomorphic sectional curvature of its Bergman metric equals a negative constant $I ¨ $ . We show that $D$ is biholomorphic…

math.CV2025

The Levi $q$ -core and Property ( $P_{q}$ )

Gian Maria Dall'Ara, Samuele Mongodi, John N. Treuer

We introduce the Grassmannian $q$ -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…

math.CV2025

Rotational symmetries of domains and orthogonality relations

Soumya Ganguly, John N. Treuer

Let $I^c ◯ \subset C^{n}$ be a domain whose Bergman space contains all holomorphic monomials. We derive sufficient conditions for $I^c ◯$ to be Reinhardt, complete Reinhardt, circu…

Domains with Bergman metrics of constant curvature and Bergman-negligible subsets

The Levi q-core and Property (Pq​)

Rotational symmetries of domains and orthogonality relations

The Levi $q$ -core and Property ( $P_{q}$ )