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Durham e-Theses
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Curvature, singularities and projections of smooth maps

Smith, Michael Ian Nimmo (1971) Curvature, singularities and projections of smooth maps. Doctoral thesis, Durham University.



This work is an initial attempt to extend to many-parameter families of smooth functions on a smooth manifold, and projections of smooth maps into subspaces of higher dimension, the well-known inter relations, between the space of Morse function on a smooth manifold and the space of immersions of the manifold in a cartesian space, which are given by the Gauss-maps of the immersions, and the orthogonal projections of the immersions onto lines in the Cartesian spaces. Results, both local and global, are obtained.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Thesis Date:1971
Copyright:Copyright of this thesis is held by the author
Deposited On:13 Nov 2013 15:40

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