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Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

In this chapter we shall develop some machinery which we shall need in the next chapter to prove one of the most celebrated theorems in differential geometry, the Gauss-Bonnet theorem. We shall first discuss n-surfaces-with-boundary. Then we shall develop a little bit of the differential calculus of forms.

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© 1979 Springer-Verlag New York Inc.

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Thorpe, J.A. (1979). Surfaces with Boundary. In: Elementary Topics in Differential Geometry. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6153-7_20

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  • DOI: https://doi.org/10.1007/978-1-4612-6153-7_20

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6155-1

  • Online ISBN: 978-1-4612-6153-7

  • eBook Packages: Springer Book Archive

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