Isometric Euclidean embeddings of a compact manifold from a Fréchet manifold

Binz, Ernst

Preview

PDF
1987_71.pdf - Published
Download (792kB)

URL:	http://ub-madoc.bib.uni-mannheim.de/1959
URN:	urn:nbn:de:bsz:180-madoc-19594
Document Type:	Working paper
Year of publication:	1987
The title of a journal, publication series:	None
Publication language:	English
Institution:	School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series:	Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject:	510 Mathematics
Classification:	MSC: 58D15 58B20 ,
Subject headings (SWD):	Kompakte Einbettung , Einbettung <Mathematik> , Fréchet-Mannigfaltigkeit
Keywords (English):	smooth embeddings , compact smooth manifold , Fréchet manifold
Abstract:	Let E (M, IRn) be the collection of all smooth embeddings of a compact smooth manifold M into IRn. Given a fixed scalar product < , > on IRn , the pull-back of < , > by j ∈ E(M , IRn) is denoted by m(j). We show that m-1(m(j)) is a Fréchet manifold for any j ∈ E(M , IRn). This manifold is infinit dimensional if the codimension of M in IRn is large enough. The result links with Einstein's evolution equation and with elasticity theory.
Additional information:

Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.

BASE: Binz, Ernst

Google Scholar: Binz, Ernst

Downloads per month over past year

You have found an error? Please let us know about your desired correction here: E-Mail

Show item