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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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.

UDC: 517.946

Received: 20.10.1995

Language: English


 English version:
Journal of Mathematical Sciences (New York), 1999, 94:2, 1218–1225

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© Steklov Math. Inst. of RAS, 2025