In this thesis we consider a submanifold M of a Riemannian manifold R where M is given as the intersection of level sets of C[symbol omitted] real valued functions defined
on R. For a fixed point x in M we construct diffeomorphisms Sx:TMx→M where TMx is the tangent
space of M at x. In particular, we determine the Taylor expansion of Sx at 0 in TMx in terms of the Riemannian structure of R and the defining equations of M. / Science, Faculty of / Mathematics, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/33009 |
| Date | January 1973 |
| Creators | Fournier, David Anthony |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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