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De Rham decomposition of netted manifolds

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Abstract

By definition a net on a manifold is a family of complementary foliations. Nets and net morphisms between netted manifolds allow to develop basic tools for the decomposability of netted manifolds and of differentiable maps between them. In this way new generalizations of de Rham’s decomposition theorem are obtained.

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Authors and Affiliations

  1. Mathematisches Institut der Universität zu Köln, Weyertal 86-90, D-50931, Köln, Germany

    H. Reckziegel & M. Schaaf

Authors
  1. H. Reckziegel
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  2. M. Schaaf
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Correspondence to H. Reckziegel.

Additional information

Most of the new results were obtained by the second author while working on his doctoral thesis.

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Reckziegel, H., Schaaf, M. De Rham decomposition of netted manifolds. Results. Math. 35, 175–191 (1999). https://doi.org/10.1007/BF03322031

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