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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 1, Pages 125–149
DOI: https://doi.org/10.1070/IM1982v019n01ABEH001403 (Mi im1587) 		 
This article is cited in 1 scientific paper (total in 2 paper)

A local invariant of a Riemannian manifold

A. N. Tyurin
English version PDF (1091 kB) Citations (2) Russian version article
References:
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DOI: https://doi.org/10.1070/IM1982v019n01ABEH001403
Abstract: In this paper we investigate the geometry of local invariants of a four-dimensional Riemannian manifold and prove that all irreducible components of the curvature tensor can be reconstructed from a local invariant up to proportionality.
Bibliography: 14 titles.
Received: 25.12.1980
Bibliographic databases:
UDC: 513.6
MSC: 14D25, 14J10, 53B20
Language: English
Original paper language: Russian
Citation: A. N. Tyurin, “A local invariant of a Riemannian manifold”, Math. USSR-Izv., 19:1 (1982), 125–149
Citation in format AMSBIB
\Bibitem{Tyu81}
\by A.~N.~Tyurin
\paper A~local invariant of a~Riemannian manifold
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 1
\pages 125--149
\mathnet{http://mi.mathnet.ru/eng/im1587}
\crossref{https://doi.org/10.1070/IM1982v019n01ABEH001403}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=631440}
\zmath{https://zbmath.org/?q=an:0596.53015}
Linking options:
  • https://www.mathnet.ru/eng/im1587
  • https://doi.org/10.1070/IM1982v019n01ABEH001403
  • https://www.mathnet.ru/eng/im/v45/i4/p824
    • This publication is cited in the following 2 articles:
    1. F. A. Bogomolov, A. L. Gorodentsev, V. A. Iskovskikh, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, V. Ya. Pidstrigach, A. S. Tikhomirov, N. A. Tyurin, I. R. Shafarevich, “Andrei Nikolaevich Tyurin (obituary)”, Russian Math. Surveys, 58:3 (2003), 597–605  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. V. V. Nikulin, “Involutions of integral quadratic forms and their applications to real algebraic geometry”, Math. USSR-Izv., 22:1 (1984), 99–172  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:416
    Russian version PDF:153
    English version PDF:12
    References:65
    First page:1
     
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