A remark on the gromov convergence theorem

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    In [3] M. Gromov introduced the concept of convergence of Riemannian manifolds and he proved the convergence theorem. Since that time the theorem has been developed in detail (see [5], [7], [2]), and we know that it contains some interesting applications. Nevertheless there seems to be an inadequate way of applying the convergence theorem. The purpose of this paper is to present an example which shows that it is not correct.

    Original languageEnglish
    Pages (from-to)491-494
    Number of pages4
    JournalProceedings of the American Mathematical Society
    Issue number2
    Publication statusPublished - Feb 1990

    All Science Journal Classification (ASJC) codes

    • Mathematics(all)
    • Applied Mathematics


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