Schwarz symmetry theorem
If a minimal surface passes through a straight line , then is its axis of symmetry. This theorem implies that if the boundary of a minimal surface contains a segment of this line , then this surface can be extended across this segment symmetrically with respect to .
Schwarz symmetry theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Schwarz_symmetry_theorem&oldid=12587