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Embedding of a Urysohn differentiable manifold with corners in a real Banach space

Armas-Gómez, S.;  Margalef-Roig, J.;  Outerolo-Domínguez, E.;  Padrón-Fernández, E. — 1993

Proceedings of the Winter School "Geometry and Physics"

Summary: We prove a characterization of the immersions in the context of infinite dimensional manifolds with corners, we prove that a Hausdorff paracompact C p -manifold whose charts are modelled over real Banach spaces which fulfil the Urysohn C p -condition can be embedded in a real Banach space, E , by means of a closed embedding, f , such that, locally, its image is a totally neat submanifold of a quadrant of a closed vector subspace of E and finally we prove that a Hausdorff paracompact topological...

New examples of compact cosymplectic solvmanifolds

J. C. Marrero;  E. Padrón-Fernández — 1998

Archivum Mathematicum

In this paper we present new examples of ( 2 n + 1 ) -dimensional compact cosymplectic manifolds which are not topologically equivalent to the canonical examples, i.e., to the product of the ( 2 m + 1 ) -dimensional real torus and the r -dimensional complex projective space, with m , r ≥ 0 and m + r = n . These new examples are compact solvmanifolds and they are constructed as suspensions with fibre the 2 n -dimensional real torus. In the particular case n = 1 , using the examples obtained, we conclude that a 3 -dimensional compact flat orientable...

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