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A note on closed isometric embeddings

Müller, Olaf (2013) A note on closed isometric embeddings. Preprintreihe der Fakultät Mathematik 08/2013, Working Paper.

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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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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2013
Institutions:Mathematics > Prof. Dr. Felix Finster
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:28906
Owner only: item control page

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