Kruglikov, B. S. On extension of a restriction of a symplectic form. (Russian) Zbl 0853.53029 Tr. Semin. Vektorn. Tenzorn. Anal. 25, Pt. 1, 71-74 (1993). The author examines the problem of an extension of a given closed 2-form \(\tau\) of rank \(2n-2\) on a compact orientable \(2n-1\) manifold \(Q\) to a symplectic form \(\omega \) on \(Q\times (-\varepsilon, \varepsilon)\). The author proves that the extension \(\omega\) of \(\tau\) always exists. He classifies the forms \(\omega\) up to a “homotopy” (then there are two different extensions) and up to a “diffeomorphism” (then there is a unique extension). Reviewer: J.Kubarski (Łódź) Cited in 1 Document MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 58A10 Differential forms in global analysis Keywords:classification; extension; symplectic form PDFBibTeX XMLCite \textit{B. S. Kruglikov}, Tr. Semin. Vektorn. Tenzorn. Anal. 25, Part 1, 71--74 (1993; Zbl 0853.53029)