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Existence of codimension one foliations with minimal leaves

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Abstract

Every smooth closed manifold of dimension 4 or greater that has a smooth codimension one foliation, has such aC 1 foliation whose leaves are minimal hypersurfaces for someC 1 Riemannian metric.

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References

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Author notes

  1. Paul A. Schweitzer S. J.

    Present address: Departamento de Matemática, Pontifícia, Universidade Católica do Rio de Janeiro, 22453, Rio de Janeiro, RJ, Brazil

Authors and Affiliations

  1. Department of Mathematics, Boston College, 02167-3806, Chestnut Hill, MA, USA

    Paul A. Schweitzer S. J.

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  1. Paul A. Schweitzer S. J.
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Schweitzer, P.A. Existence of codimension one foliations with minimal leaves. Ann Glob Anal Geom 9, 77–81 (1991). https://doi.org/10.1007/BF02411357

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  • DOI: https://doi.org/10.1007/BF02411357

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