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Sulla deformazione dei paraboloidi di rotazione negli spazîdi curvatura costante. - MaRDI portal

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Sulla deformazione dei paraboloidi di rotazione negli spazîdi curvatura costante. (Q1511752)

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scientific article; zbMATH DE number 2666274
Language Label Description Also known as
English
Sulla deformazione dei paraboloidi di rotazione negli spazîdi curvatura costante.
scientific article; zbMATH DE number 2666274

    Statements

    Sulla deformazione dei paraboloidi di rotazione negli spazîdi curvatura costante. (English)
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    1900
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    Denkt man sich die Brennstrahlen eines Rotationsparaboloids fest mit diesem verbunden, so bilden die dem Brennpunkt entsprechenden Endpunkte bei jeder Deformation des Paraboloids eine Minimalfläche. Umgekehrt kann auf \(\infty^3\) verschiedene Arten jede Minimalfläche mit einer Deformation des Paraboloids in diese Beziehung gebracht werden. Dieser Satz wird auf den elliptischen und hyperbolischen Raum verallgemeinert.
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