@article{oai:soar-ir.repo.nii.ac.jp:00011818,
 author = {Kuribayashi,  Katsuhiko},
 issue = {6},
 journal = {DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS},
 month = {Dec},
 note = {Let F be a fibration on a simply-connected base with symplectic fiber (M, omega). Assume that the fiber is nilpotent and T(2k)-separable for some integer k or a nilmanifold. Then our main theorem, Theorem 1.8, gives a necessary and sufficient condition for the cohomology class vertical bar omega vertical bar to extend to a cohomology class of the total space of T. This allows us to describe Thurston's criterion for a symplectic fibration to admit a compatible symplectic form in terms of the classifying map for the underlying fibration. The obstruction due to Lalond and McDuff for a symplectic bundle to be Hamiltonian is also rephrased in the same vein. Furthermore, with the aid of the main theorem, we discuss a global nature of the set of the homotopy equivalence classes of fibrations with symplectic fiber in which the class vertical bar omega vertical bar is extendable., Article, DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. 29(6):801-815 (2011)},
 pages = {801--815},
 title = {On extensions of a symplectic class},
 volume = {29},
 year = {2011}
}