In this paper we present new examples of -dimensional compact cosymplectic manifolds which are not topologically equivalent to the canonical examples, i.e., to the product of the -dimensional real torus and the -dimensional complex projective space, with and These new examples are compact solvmanifolds and they are constructed as suspensions with fibre the -dimensional real torus. In the particular case using the examples obtained, we conclude that a -dimensional compact flat orientable...
Summary: We prove a characterization of the immersions in the context of infinite dimensional manifolds with corners, we prove that a Hausdorff paracompact -manifold whose charts are modelled over real Banach spaces which fulfil the Urysohn -condition can be embedded in a real Banach space, , by means of a closed embedding, , such that, locally, its image is a totally neat submanifold of a quadrant of a closed vector subspace of and finally we prove that a Hausdorff paracompact topological...
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