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The geometry of analytic jets
V. V. Zharinov
Abstract:
The author studies jet manifolds in the real-analytic class, and shows that in this case they are stratified into Cartan submanifolds, which leads to further geometric properties of maps and Lie-Bäcklund fields and topological properties of differential equations.
Bibliography: 9 titles.
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English version:
Mathematics of the USSR-Sbornik, 1986, 53:2, 367–383
Bibliographic databases:
UDC:
517.958
MSC: Primary 58A20; Secondary 35A30, 58A15 Received: 26.10.1983
Citation:
V. V. Zharinov, “The geometry of analytic jets”, Mat. Sb. (N.S.), 125(167):3(11) (1984), 364–383; Math. USSR-Sb., 53:2 (1986), 367–383
Citation in format AMSBIB
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\by V.~V.~Zharinov
\paper The geometry of analytic jets
\jour Mat. Sb. (N.S.)
\yr 1984
\vol 125(167)
\issue 3(11)
\pages 364--383
\mathnet{http://mi.mathnet.ru/msb2089}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=764900}
\zmath{https://zbmath.org/?q=an:0591.58001}
\transl
\jour Math. USSR-Sb.
\yr 1986
\vol 53
\issue 2
\pages 367--383
\crossref{https://doi.org/10.1070/SM1986v053n02ABEH002926}
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http://mi.mathnet.ru/eng/msb2089 http://mi.mathnet.ru/eng/msb/v167/i3/p364
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