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Mathematics of the USSR-Sbornik, 1989, Volume 62, Issue 1, Pages 157–175
DOI: https://doi.org/10.1070/SM1989v062n01ABEH003233 (Mi sm2664) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Sasaki metric of the normal bundle of a submanifold in a Riemannian space

A. A. Borisenko, A. L. Yampol'skii
English version PDF (942 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/SM1989v062n01ABEH003233
Abstract: On the normal bundle of a submanifold in a Riemannian space a natural Riemannian metric is introduced. The structure of surfaces with strongly parabolic normal bundle metric is determined. It is shown that the Sasaki metric of the normal bundle of vectors of fixed length of a two-dimensional Veronese surface has constant sectional curvature.
Bibliography: 15 titles.
Received: 03.04.1986
Bibliographic databases:
UDC: 513
MSC: Primary 53C40; Secondary 53C21, 55R25, 53B15, 53C25, 53A05, 53A07
Language: English
Original paper language: Russian
Citation: A. A. Borisenko, A. L. Yampol'skii, “On the Sasaki metric of the normal bundle of a submanifold in a Riemannian space”, Math. USSR-Sb., 62:1 (1989), 157–175
Citation in format AMSBIB
\Bibitem{BorYam87}
\by A.~A.~Borisenko, A.~L.~Yampol'skii
\paper On the Sasaki metric of the normal bundle of a~submanifold in a~Riemannian space
\jour Math. USSR-Sb.
\yr 1989
\vol 62
\issue 1
\pages 157--175
\mathnet{http://mi.mathnet.ru//eng/sm2664}
\crossref{https://doi.org/10.1070/SM1989v062n01ABEH003233}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=922413}
\zmath{https://zbmath.org/?q=an:0663.53035|0633.53071}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:185
    English version PDF:33
    References:67
     
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