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Titlebook: Geometry III; Theory of Surfaces Yu. D. Burago,V. A. Zalgaller Book 1992 Springer-Verlag Berlin Heidelberg 1992 Differential Geometry.Diffe

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發(fā)表于 2025-3-21 19:48:46 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Geometry III
副標題Theory of Surfaces
編輯Yu. D. Burago,V. A. Zalgaller
視頻videohttp://file.papertrans.cn/384/383749/383749.mp4
叢書名稱Encyclopaedia of Mathematical Sciences
圖書封面Titlebook: Geometry III; Theory of Surfaces Yu. D. Burago,V. A. Zalgaller Book 1992 Springer-Verlag Berlin Heidelberg 1992 Differential Geometry.Diffe
描述The original version of this article was written more than fiveyears ago with S. Z. Shefel‘,a profound and original mathematician who died in 1984. Sincethen the geometry of surfaces has continued to be enriched with ideas and results. This has required changes and additions, but has not influenced the character of the article, the design ofwhich originated with Shefel‘. Without knowing to what extent Shefel‘ would have approved the changes, I should nevertheless like to dedicate this article to his memory. (Yu. D. Burago) We are trying to state the qualitative questions of the theory of surfaces in Euclidean spaces in the form in which they appear to the authors at present. This description does not entirely correspond to the historical development of the subject. The theory of surfaces was developed in the first place mainly as the 3 theory of surfaces in three-dimensional Euclidean space E ; however, it makes sense to begin by considering surfaces F in Euclidean spaces of any dimension n~ 3. This approach enables us, in particular, to put in a new light some 3 unsolved problems of this developed (and in the case of surfaces in E fairly complete) theory, and in many cases to refe
出版日期Book 1992
關鍵詞Differential Geometry; Differentialgeometrie; Fl?chen; Riemannian geometry; Surfaces; curvature; manifold
版次1
doihttps://doi.org/10.1007/978-3-662-02751-6
isbn_softcover978-3-642-08102-6
isbn_ebook978-3-662-02751-6Series ISSN 0938-0396
issn_series 0938-0396
copyrightSpringer-Verlag Berlin Heidelberg 1992
The information of publication is updating

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Mathematische Grundlagen der Zuverl?ssigkeithy and Gauss. After it was discovered that on surfaces there is an “intrinsic geometry” that does not depend on the external form of the surface, there naturally arose the question of the possibility of deforming the surface, preserving its intrinsic geometry. Consideration of isometric immersions (
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https://doi.org/10.1007/978-3-662-02751-6Differential Geometry; Differentialgeometrie; Fl?chen; Riemannian geometry; Surfaces; curvature; manifold
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0938-0396 articular, to put in a new light some 3 unsolved problems of this developed (and in the case of surfaces in E fairly complete) theory, and in many cases to refe978-3-642-08102-6978-3-662-02751-6Series ISSN 0938-0396
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Book 1992ace E ; however, it makes sense to begin by considering surfaces F in Euclidean spaces of any dimension n~ 3. This approach enables us, in particular, to put in a new light some 3 unsolved problems of this developed (and in the case of surfaces in E fairly complete) theory, and in many cases to refe
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The Geometry of Surfaces in Euclidean Spaces,ince then the geometry of surfaces has continued to be enriched with ideas and results. This has required changes and additions, but has not influenced the character of the article, the design of which originated with Shefel’. Without knowing to what extent Shefel’ would have approved the changes, I
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Surfaces of Negative Curvature, constitute part of the class of . in . .. Hence the article serves as an extension of the third chapter of Part I of this book, written by Yu.D. Burago and S.Z. Shefel’. At the same time, this article is meant to be read independently, and so together with the references to Alekseevskij, Vinogradov
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