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Affine Maximal Hypersurfaces 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Fang Jia, An-min Li/ Simon, Udo 作者

译者

2010-4 出版日期

192 页数

$ 73.00 价格

丛书系列

9789812814166 图书编码

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Affine Maximal Hypersurfaces 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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In this monograph, the interplay between geometry and partial differential equations (PDEs) is of particular interest. It gives a selfcontained introduction to research in the last decade concerning global problems in the theory of submanifolds, leading to some types of Monge-AmpÃ¨re equations.

From the methodical point of view, it introduces the solution of certain Monge-AmpÃ¨re equations via geometric modeling techniques. Here geometric modeling means the appropriate choice of a normalization and its induced geometry on a hypersurface defined by a local strongly convex global graph. For a better understanding of the modeling techniques, the authors give a selfcontained summary of relative hypersurface theory, they derive important PDEs (e.g. affine spheres, affine maximal surfaces, and the affine constant mean curvature equation). Concerning modeling techniques, emphasis is on carefully structured proofs and exemplary comparisons between different modelings.

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