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A note on closed isometric embeddings

URN to cite this document:
urn:nbn:de:bvb:355-epub-289063
Müller, Olaf
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Date of publication of this fulltext: 14 Oct 2013 08:15


Abstract

A famous theorem due to Nash ([3]) assures that every Riemannian manifold
can be embedded isometrically into some Euclidean space En. An interesting
question is whether for a complete manifold M we can find a closed isometric
embedding. This note gives the affirmative answer to this question asked to
the author by Paolo Piccione.


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