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Sbornik: Mathematics, 1996, Volume 187, Issue 12, Pages 1853–1867
DOI: https://doi.org/10.1070/SM1996v187n12ABEH000180 (Mi sm180) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On totally geodesic embeddings of 7-dimensional manifolds of positive sectional curvature

I. A. Taimanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
English version PDF (658 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM1996v187n12ABEH000180
Abstract: Totally geodesic embeddings of an infinite series of 7-dimensional manifolds in 13-dimensional manifolds of positive sectional curvature are constructed in this paper. The topology of these embeddings is studied and the possibility of constructing new many-dimensional examples of manifolds of positive curvature is discussed.
Received: 31.01.1996
Russian version:
Matematicheskii Sbornik, 1996, Volume 187, Number 12, Pages 121–136
DOI: https://doi.org/10.4213/sm180
Bibliographic databases:
UDC: 515.165.7
MSC: Primary 53C20, 53C21; Secondary 53C30
Language: English
Original paper language: Russian
Citation: I. A. Taimanov, “On totally geodesic embeddings of 7-dimensional manifolds of positive sectional curvature”, Mat. Sb., 187:12 (1996), 121–136; Sb. Math., 187:12 (1996), 1853–1867
Citation in format AMSBIB
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\paper On totally geodesic embeddings of 7-dimensional manifolds of positive sectional curvature
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:402
    Russian version PDF:198
    English version PDF:7
    References:63
    First page:3
     
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