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ЖУРНАЛЫ // Алгебра и анализ // Архив

Алгебра и анализ, 2017, том 29, выпуск 1, страницы 7–48 (Mi aa1520)

Эта публикация цитируется в 3 статьях

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A panoramic glimpse of manifolds with sectional curvature bounded from below

K. Grove

University of Notre Dame, 255 Hurley, South Bend, IN 46556, USA

Аннотация: Rather than providing a comprehensive survey on manifolds curved from below, the paper is aimed at exhibiting and discussing some of the main ideas and tools that have been developed over decades. For the same reason, only a relatively small sample of results is presented to illustrate this development and in doing this, simplicity is emphasized over generality. In the same vein, at most a glimpse of an idea or strategy of a proof is given.

Ключевые слова: lower curvature bound, Toponogov distance comparison theorem, Bishop–Gromov volume comparison theorem, Gromov–Hausdorff topology.

Поступила в редакцию: 06.09.2016

Язык публикации: английский


 Англоязычная версия: St. Petersburg Mathematical Journal, 2018, 29:1, 3–31

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