Schwarz symmetry theorem
From Encyclopedia of Mathematics
If a minimal surface passes through a straight line $l$, then $l$ is its axis of symmetry. This theorem implies that if the boundary of a minimal surface contains a segment of this line $l$, then this surface can be extended across this segment symmetrically with respect to $l$.
How to Cite This Entry:
Schwarz symmetry theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Schwarz_symmetry_theorem&oldid=12587
Schwarz symmetry theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Schwarz_symmetry_theorem&oldid=12587
This article was adapted from an original article by I.Kh. Sabitov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article