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On the mean curvature of Nash isometric embeddings

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 نشر من قبل Greg\\'orio Pacelli F. Bessa
 تاريخ النشر 2008
  مجال البحث
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J. Nash proved that the geometry of any Riemannian manifold M imposes no restrictions to be embedded isometrically into a (fixed) ball B_{mathbb{R}^{N}}(1) of the Euclidean space R^N. However, the geometry of M appears, to some extent, imposing restrictions on the mean curvature vector of the embedding.



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