Abstract
In this chapter we shall establish two theorems which show that, locally, n-surfaces and parametrized n-surfaces are the same. In order to do this, we will need to use the following theorem from the calculus of several variables.
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© 1979 Springer-Verlag New York Inc.
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Thorpe, J.A. (1979). Local Equivalence of Surfaces and Parametrized Surfaces. In: Elementary Topics in Differential Geometry. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6153-7_15
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DOI: https://doi.org/10.1007/978-1-4612-6153-7_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6155-1
Online ISBN: 978-1-4612-6153-7
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