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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 234, Pages 125–136 (Mi znsl3632)  

On the image in $H^2(Q^3;R)$ of the set of closed 2-forms with preassigned kernel

B. S. Kruglikov

Московский государственный университет
Abstract: If $(P^{2n},\omega)$ is a symplectic manifold and $Q^3$ is its orientable closed submanifold such that $\omega/Q\ne0$, then there arises a one-dimensional distribution $\mathcal L=\operatorname{Ker}(\omega/Q)$. We study the dependence of $\omega$ in a neighborhood of $Q^3$ and of $[\omega]\in H^2(Q;R)$ on $\mathcal L$. Bibl. 13 titles.
Received: 20.10.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 94, Issue 2, Pages 1218–1225
DOI: https://doi.org/10.1007/BF02364877
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: English
Citation: B. S. Kruglikov, “On the image in $H^2(Q^3;R)$ of the set of closed 2-forms with preassigned kernel”, Differential geometry, Lie groups and mechanics. Part 15–1, Zap. Nauchn. Sem. POMI, 234, POMI, St. Petersburg, 1996, 125–136; J. Math. Sci. (New York), 94:2 (1999), 1218–1225
Citation in format AMSBIB
\Bibitem{Kru96}
\by B.~S.~Kruglikov
\paper On the image in $H^2(Q^3;R)$ of the set of closed 2-forms with preassigned kernel
\inbook Differential geometry, Lie groups and mechanics. Part~15--1
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 234
\pages 125--136
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3632}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1856080}
\zmath{https://zbmath.org/?q=an:0973.53526}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 94
\issue 2
\pages 1218--1225
\crossref{https://doi.org/10.1007/BF02364877}
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