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Russian Academy of Sciences. Sbornik. Mathematics, 1993, Volume 76, Issue 1, Pages 225–246
DOI: https://doi.org/10.1070/SM1993v076n01ABEH003410 (Mi sm1050) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Classification of multidimensional submanifolds in Euclidean space with a totally geodesic Gauss image

Yu. A. Nikolaevskii
English version PDF (1109 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1993v076n01ABEH003410
Abstract: A complete classification is given of submanifolds that have a totally geodesic Gauss image in the ambient Grassmann manifold. The arguments are based on a study of the tangent space to the Gauss image of the submanifold and Cartan's theorem on totally geodesic submanifolds of symmetric spaces.
Received: 26.09.1989
Russian version:
Matematicheskii Sbornik, 1992, Volume 183, Number 6, Pages 127–154
Bibliographic databases:
UDC: 514
MSC: Primary 53A07; Secondary 53B25
Language: English
Original paper language: Russian
Citation: Yu. A. Nikolaevskii, “Classification of multidimensional submanifolds in Euclidean space with a totally geodesic Gauss image”, Mat. Sb., 183:6 (1992), 127–154; Russian Acad. Sci. Sb. Math., 76:1 (1993), 225–246
Citation in format AMSBIB
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\by Yu.~A.~Nikolaevskii
\paper Classification of multidimensional submanifolds in Euclidean space with a~totally geodesic Gauss image
\jour Mat. Sb.
\yr 1992
\vol 183
\issue 6
\pages 127--154
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\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1993
\vol 76
\issue 1
\pages 225--246
\crossref{https://doi.org/10.1070/SM1993v076n01ABEH003410}
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  • https://doi.org/10.1070/SM1993v076n01ABEH003410
  • https://www.mathnet.ru/eng/sm/v183/i6/p127
    • This publication is cited in the following 1 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:414
    Russian version PDF:133
    English version PDF:20
    References:72
    First page:1
     
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