On the analytic reflection of a minimal surface (Q1314916)

For a long time it has been known that in a Euclidean space one can reflect a minimal surface across a part of its boundary if the boundary contains a line segment, or if the minimal surface meets a plane orthogonally along the boundary. The proof of this fact makes use of H. A. Schwarz's reflection principle for harmonic functions. In this paper we show that a minimal surface can also be reflected analytically if it meets a plane at a constant angle.