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UBC Theses and Dissertations
Induced sprays on implicitly defined submanifolds of riemannian manifolds Fournier, David Anthony
Abstract
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.
Item Metadata
| Title |
Induced sprays on implicitly defined submanifolds of riemannian manifolds
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1973
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| Description |
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.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2011-03-28
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| Provider |
Vancouver : University of British Columbia Library
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| 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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| DOI |
10.14288/1.0080102
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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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.