Difference between revisions of "Riemann-Schwarz surface"
From Encyclopedia of Mathematics
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| − | A [[ | + | A [[minimal surface]] stretched over a $4$-sided [[polygon]]. It is one of the first more general solutions to the [[Plateau problem]]. Analytically it is expressed using the [[Christoffel–Schwarz formula]]. It was first studied by B. Riemann (1872) and H.A. Schwarz (1874). |
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| − | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> | + | <table> |
| + | <TR><TD valign="top">[a1]</TD> <TD valign="top"> J.C.C. Nitsche, "Vorlesungen über Minimalflächen", Springer (1975) {{ZBL|0319.53003}}</TD></TR> | ||
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Latest revision as of 09:32, 16 April 2023
A minimal surface stretched over a $4$-sided polygon. It is one of the first more general solutions to the Plateau problem. Analytically it is expressed using the Christoffel–Schwarz formula. It was first studied by B. Riemann (1872) and H.A. Schwarz (1874).
References
| [a1] | J.C.C. Nitsche, "Vorlesungen über Minimalflächen", Springer (1975) Zbl 0319.53003 |
How to Cite This Entry:
Riemann-Schwarz surface. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Riemann-Schwarz_surface&oldid=31919
Riemann-Schwarz surface. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Riemann-Schwarz_surface&oldid=31919
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article