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
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