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One end theorem and application to stable minimal hypersurfaces

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Abstract.

In this paper, we prove a one end theorem for complete noncompact Riemannian manifolds and apply it to complete noncompact stable minimal hypersurfaces.

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Authors and Affiliations

  1. Instituto de Matematica, Universidade Federal Fluminense-UFF, Centro, Niterói, RJ 24020-140, Brazil

    Xu Cheng

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  1. Xu Cheng
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Correspondence to Xu Cheng.

Additional information

Partially supported by CNPq and Pronex of Brazil.

Received: 10 September 2007

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Cheng, X. One end theorem and application to stable minimal hypersurfaces. Arch. Math. 90, 461–470 (2008). https://doi.org/10.1007/s00013-007-2575-7

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  • DOI: https://doi.org/10.1007/s00013-007-2575-7

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