A reflection principle for minimal surfaces in smooth three manifolds

Abstract

We prove a reflection principle for minimal surfaces in smooth (non necessarily analytic) three manifolds and we give an explicit application when the ambient space is just a smooth manifold.

This is an improved version with a new application in the smooth setting

References in corpus (2)

• Concentration of total curvature of minimal surfaces in H^2xR
• The Alexandrov problem in a quotient space of ${\mathbb{H}}^2\times \mathbb{R}$