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# Isometric Embeddings of Riemannian Manifolds

@inproceedings{Gnther2010IsometricEO, title={Isometric Embeddings of Riemannian Manifolds}, author={Matthias G{\"u}nther}, year={2010} }

- Published 2010

The dot in (1) denotes the usual scalar product of R. The notion embedding means, that w is locally an immersion and globally a homeomorphism of M onto the subspace u(M) of R*. If an embedding w : M -• R satisfies (1) on the whole M, we speak of an isometric embedding. If w is an immersion and a solution of (1) in a (possibly small) neighbourhood of any point of M, we speak of a local isometric embedding. A further question is the regularity of the embedding in dependence on the regularity of… CONTINUE READING

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