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Sur les surfaces à courbure négative. - MaRDI portal

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Sur les surfaces à courbure négative. (Q1449357)

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scientific article; zbMATH DE number 2588223
Language Label Description Also known as
English
Sur les surfaces à courbure négative.
scientific article; zbMATH DE number 2588223

    Statements

    title
    Sur les surfaces à courbure négative. (English)
    0 references
    publication date
    1926
    0 references
    review text
    Nach einem Satz von \textit{Carleman} besteht zwischen Flächeninhalt \(S\) und Berandung \(L\) einer Minimalfläche stets die Beziehung \[ S\leqq\frac{L^2}{4\pi}. \] Die gleiche Beziehung beweist Verf. für jede einfach zusammenhängende (zweidimensionale) Mannigfaltigkeit von negativer oder verschwindender Krümmung. Die Voraussetzung des einfachen Zusammenhangs ist dabei wesentlich.
    0 references
    author
    André Weil
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    Identifiers

    zbMATH DE Number
    2588223
    0 references
     
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