Differentiable Manifolds

Raymond O. Wells ()
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Raymond O. Wells: University of Colorado Boulder

Chapter Chapter 12 in Differential and Complex Geometry: Origins, Abstractions and Embeddings, 2017, pp 175-185 from Springer

Abstract: Abstract Hassler Whitney proved the first general embedding theorem in 1936. He showed, among other things, that any differentiable manifold could be properly embedded in a higher-dimensional Euclidean space. His fundamental tools included Lebesgue measure theory and the notion of a cut-off function. In fact, any differentiable mapping into a suitable-dimensional Euclidean space can be approximated by such an embedding.

Date: 2017
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DOI: 10.1007/978-3-319-58184-2_12

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