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Sbornik: Mathematics, 2006, Volume 197, Issue 7, Pages 997–1024
DOI: https://doi.org/10.1070/SM2006v197n07ABEH003786 (Mi sm1592) 		 
This article is cited in 3 scientific papers (total in 4 papers)

Structure theorems for Ricci-semisymmetric submanifolds and geometric description of a class of minimal semi-Einstein submanifolds

V. A. Mirzoyanab

a State Engineering University of Armenia
b European Regional Academy of the Caucasus
English version PDF (393 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM2006v197n07ABEH003786
Abstract: Structure results are proved for submanifolds of Euclidean spaces with semiparallel Ricci tensor under certain additional conditions. Minimal submanifolds are studied in greater detail. A geometric description of a class of normally flat semi-Einstein submanifolds with multiple principal curvature vectors is presented.
Bibliography: 36 titles.
Received: 23.05.2005
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 7, Pages 47–76
DOI: https://doi.org/10.4213/sm1592
Bibliographic databases:
UDC: 514.752
MSC: 53B20, 53B25
Language: English
Original paper language: Russian
Citation: V. A. Mirzoyan, “Structure theorems for Ricci-semisymmetric submanifolds and geometric description of a class of minimal semi-Einstein submanifolds”, Mat. Sb., 197:7 (2006), 47–76; Sb. Math., 197:7 (2006), 997–1024
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2006v197n07ABEH003786
  • https://www.mathnet.ru/eng/sm/v197/i7/p47
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:570
    Russian version PDF:245
    English version PDF:31
    References:71
    First page:2
     
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