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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 $m, r \geq 0$ 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...

Connections on infinite dimensional manifolds with corners

J. Margalef-Roig; E. Outerelo-Domínguez; E. Padrón-Fernández — 1997

Rendiconti del Seminario Matematico della Università di Padova

Transversality on manifolds with corners

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

Proceedings of the Winter School "Geometry and Topology"

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...

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