Curvature, singularities and projections of smooth maps

Curvature, singularities and projections of smooth maps

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 th...

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Main Author: Smith, Michael Ian Nimmo
Published: Durham University 1971
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.585983
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spelling ndltd-bl.uk-oai-ethos.bl.uk-5859832015-03-20T04:50:13ZCurvature, singularities and projections of smooth mapsSmith, Michael Ian Nimmo1971This 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.Durham Universityhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.585983http://etheses.dur.ac.uk/8686/Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
description 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.
author Smith, Michael Ian Nimmo
spellingShingle Smith, Michael Ian Nimmo
Curvature, singularities and projections of smooth maps
author_facet Smith, Michael Ian Nimmo
author_sort Smith, Michael Ian Nimmo
title Curvature, singularities and projections of smooth maps
title_short Curvature, singularities and projections of smooth maps
title_full Curvature, singularities and projections of smooth maps
title_fullStr Curvature, singularities and projections of smooth maps
title_full_unstemmed Curvature, singularities and projections of smooth maps
title_sort curvature, singularities and projections of smooth maps
publisher Durham University
publishDate 1971
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.585983
work_keys_str_mv AT smithmichaeliannimmo curvaturesingularitiesandprojectionsofsmoothmaps
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