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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) Russian version article
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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
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”, Sb. Math., 187:12 (1996), 1853–1867
Citation in format AMSBIB
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\by I.~A.~Taimanov
\paper On totally geodesic embeddings of 7-dimensional manifolds of positive sectional curvature
\jour Sb. Math.
\yr 1996
\vol 187
\issue 12
\pages 1853--1867
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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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