Abstract
The considerations of the last chapter were strictly local. However, one of the most interesting features of differential geometry is the connection between local properties and properties that depend on the entire surface. One of the most striking of such properties is the so-called Gauss-Bonnet theorem which we intend to prove in this section.
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© 1994 Springer-Verlag Berlin Heidelberg
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do Carmo, M.P. (1994). The Theorem of Gauss-Bonnet and the Theorem of Morse. In: Differential Forms and Applications. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57951-6_6
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DOI: https://doi.org/10.1007/978-3-642-57951-6_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57618-1
Online ISBN: 978-3-642-57951-6
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