TY - JOUR
T1 - A remark on the gromov convergence theorem
AU - Otsu, Yukio
PY - 1990/2
Y1 - 1990/2
N2 - 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.
AB - 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.
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U2 - 10.1090/S0002-9939-1990-0990431-7
DO - 10.1090/S0002-9939-1990-0990431-7
M3 - Article
AN - SCOPUS:84968502750
SN - 0002-9939
VL - 108
SP - 491
EP - 494
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 2
ER -