# Difference between revisions of "Schwarz symmetry theorem"

From Encyclopedia of Mathematics

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− | If a [[Minimal surface|minimal surface]] passes through a straight line | + | {{TEX|done}} |

+ | If a [[Minimal surface|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 $l$. |

## Latest revision as of 10:04, 11 October 2014

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

This article was adapted from an original article by I.Kh. Sabitov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article