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Algebra i Analiz, 2017, Volume 29, Issue 1, Pages 7–48 (Mi aa1520)  
This article is cited in 3 scientific papers (total in 3 papers)

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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
Full-text PDF (353 kB) Citations (3)
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Abstract: 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.
Keywords: lower curvature bound, Toponogov distance comparison theorem, Bishop–Gromov volume comparison theorem, Gromov–Hausdorff topology.
Funding agency Grant number
National Science Foundation
Supported in part by a grant from the National Science Foundation.
Received: 06.09.2016
English version:
St. Petersburg Mathematical Journal, 2018, Volume 29, Issue 1, Pages 3–31
DOI: https://doi.org/10.1090/spmj/1479
Bibliographic databases:
Document Type: Article
Language: English
Citation: K. Grove, “A panoramic glimpse of manifolds with sectional curvature bounded from below”, Algebra i Analiz, 29:1 (2017), 7–48; St. Petersburg Math. J., 29:1 (2018), 3–31
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:331
    Full-text PDF :86
    References:39
    First page:28
     
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