Discs and boundary uniqueness for psh functions on almost complex manifolds

TL;DR

This paper proves that totally real manifolds serve as boundary uniqueness sets for plurisubharmonic functions on almost complex manifolds, extending the understanding of boundary behavior in complex analysis.

Contribution

It establishes the boundary uniqueness property for psh functions on almost complex manifolds with respect to totally real manifolds.

Findings

Totally real manifolds are boundary uniqueness sets for psh functions.

The result extends classical boundary uniqueness theorems to almost complex settings.

Provides new insights into boundary behavior of psh functions on almost complex manifolds.

Abstract

We prove that a totally real manifold (of maximal dimension) is a boundary uniqueness set for a psh function on an almost complex manifold.