Sur l'existence d'une infinité continue de structures asymptotiques sur
It is shown the existence of an uncountable infinity of asymptotic structures (i.e. equivalence's classes of quasi-isometric riemannian metrics) on the non compact manifold .
It is shown the existence of an uncountable infinity of asymptotic structures (i.e. equivalence's classes of quasi-isometric riemannian metrics) on the non compact manifold .
It is shown the existence of an uncountable infinity of asymptotic structures (i.e. equivalence's classes of quasi-isometric riemannian metrics) on the conformal class of the hyperbolic plan .
It is shown the existence of an uncountable infinity of asymptotic structures (i.e. equivalence's classes of quasi-isometric riemannian metrics) on the conformal class of the hyperbolic plan .
It is shown the existence of an uncountable infinity of asymptotic structures (i.e. equivalence's classes of quasi-isometric riemannian metrics) on the non compact manifold .
Let be a noncompact differentiable manifold and an open proper submanifold endowed with a complete Riemannian metric . We prove that can be extended all over to a complete Riemannian metric having the same growth-type as .
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