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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Bibliographic Details
Main Author: Fournier, David Anthony
Language:English
Published: University of British Columbia 2011
Subjects:
Online Access:http://hdl.handle.net/2429/33009