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Introduction to differential geometry. Transl. from the German by A. P. Shirokov, edited by A. P. Norden and V. A. Aleksandrov. - MaRDI portal

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Introduction to differential geometry. Transl. from the German by A. P. Shirokov, edited by A. P. Norden and V. A. Aleksandrov. (Q2744696)

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scientific article; zbMATH DE number 1653156
Language Label Description Also known as
English
Introduction to differential geometry. Transl. from the German by A. P. Shirokov, edited by A. P. Norden and V. A. Aleksandrov.
scientific article; zbMATH DE number 1653156

    Statements

    4 October 2001
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    textbook
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    moving frame
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    four vertex theorem
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    Pfaffian form
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    external differential
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    intrinsic geometry of a surface
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    surface area
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    Gauss-Bonnet formula
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    parallel transport
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    geodesic line
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    Green's formula
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    Liouville's net
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    conformal mapping
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    principal curvature
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    asymptotic line
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    rigidity of ovaloids
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    minimal surface
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    Scherk minimal surface
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    Enneper minimal surface
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    Plateau problem
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    Introduction to differential geometry. Transl. from the German by A. P. Shirokov, edited by A. P. Norden and V. A. Aleksandrov. (English)
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    This is the second edition of a Russian translation of the famous textbook on differential geometry written by \textit{Wilhelm Blaschke} (1885--1962) [Einführung in die Differentialgeometrie (1950; Zbl 0041.28804)]. The first Russian edition was published in 1957. The second Russian edition is endowed with comments written by V. A. Alexandrov which represent modern results related to some problems discussed in the book.
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    Identifiers

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