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Russian Mathematical Surveys, 2006, Volume 61, Issue 1, Pages 1–18
DOI: https://doi.org/10.1070/RM2006v061n01ABEH004297 (Mi rm1714) 		 
This article is cited in 21 scientific papers (total in 22 papers)

Forgotten and neglected theories of Poincaré

V. I. Arnol'd

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (208 kB) Citations (22) Russian version article
DOI: https://doi.org/10.1070/RM2006v061n01ABEH004297
Abstract: This paper describes a number of published and unpublished works of Henri Poincaré that await continuation by the next generations of mathematicians: works on celestial mechanics, on topology, on the theory of chaos and dynamical systems, and on homology, intersections and links. Also discussed are the history of the theory of relativity and the theory of generalized functions (distributions) and the connection between the Poincaré conjecture and the theory of knot invariants.
Received: 18.08.2005
Bibliographic databases:
Document Type: Article
UDC: 517.91/.93+517.95+515.1+512.7+53
MSC: Primary 01A70; Secondary 57M40, 70F07, 55-03
Language: English
Original paper language: Russian
Citation: V. I. Arnol'd, “Forgotten and neglected theories of Poincaré”, Russian Math. Surveys, 61:1 (2006), 1–18
Citation in format AMSBIB
\Bibitem{Arn06}
\by V.~I.~Arnol'd
\paper Forgotten and neglected theories of Poincar\'e
\jour Russian Math. Surveys
\yr 2006
\vol 61
\issue 1
\pages 1--18
\mathnet{http://mi.mathnet.ru/eng/rm1714}
\crossref{https://doi.org/10.1070/RM2006v061n01ABEH004297}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2239771}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2006RuMaS..61....1A}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000238945400001}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746265978}
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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