Metric Foliations and Curvature

Metric Foliations and Curvature pdf epub mobi txt 电子书 下载 2025

出版者:
作者:Walschap, Gerard
出品人:
页数:174
译者:
出版时间:
价格:$ 79.04
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isbn号码:9783764387143
丛书系列:Progress in Mathematics
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  • 数学 
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In the past three or four decades, there has been increasing realization that metric foliations play a key role in understanding the structure of Riemannian manifolds, particularly those with positive or nonnegative sectional curvature. In fact, all known such spaces are constructed from only a representative handful by means of metric fibrations or deformations thereof. This text is an attempt to document some of these constructions, many of which have only appeared in journal form. The emphasis here is less on the fibration itself and more on how to use it to either construct or understand a metric with curvature of fixed sign on a given space.

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