Induced sprays on implicitly defined submanifolds of riemannian manifolds

Induced sprays on implicitly defined submanifolds of riemannian manifolds

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,...

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Main Author: Fournier, David Anthony
Language:English
Published: University of British Columbia 2011
Subjects:
Riemann surfaces
Online Access:http://hdl.handle.net/2429/33009
id ndltd-UBC-oai-circle.library.ubc.ca-2429-33009
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spelling ndltd-UBC-oai-circle.library.ubc.ca-2429-330092018-01-05T17:46:54Z Induced sprays on implicitly defined submanifolds of riemannian manifolds Fournier, David Anthony Riemann surfaces 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 2011-03-28T21:47:35Z 2011-03-28T21:47:35Z 1973 Text Thesis/Dissertation http://hdl.handle.net/2429/33009 eng 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. University of British Columbia
collection NDLTD
language English
sources NDLTD
topic Riemann surfaces
spellingShingle Riemann surfaces
Fournier, David Anthony
Induced sprays on implicitly defined submanifolds of riemannian manifolds
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. === Science, Faculty of === Mathematics, Department of === Graduate
author Fournier, David Anthony
author_facet Fournier, David Anthony
author_sort Fournier, David Anthony
title Induced sprays on implicitly defined submanifolds of riemannian manifolds
title_short Induced sprays on implicitly defined submanifolds of riemannian manifolds
title_full Induced sprays on implicitly defined submanifolds of riemannian manifolds
title_fullStr Induced sprays on implicitly defined submanifolds of riemannian manifolds
title_full_unstemmed Induced sprays on implicitly defined submanifolds of riemannian manifolds
title_sort induced sprays on implicitly defined submanifolds of riemannian manifolds
publisher University of British Columbia
publishDate 2011
url http://hdl.handle.net/2429/33009
work_keys_str_mv AT fournierdavidanthony inducedspraysonimplicitlydefinedsubmanifoldsofriemannianmanifolds
_version_ 1718594905459130368

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