Abstract
For the first time we meet a strictly finite dimensional phenomenon: If X is of finite dimension n, then the n-forms An(X) play a distinguished role whose extension to the infinite dimensional case is not evident. So this chapter is devoted to these forms of maximal degree. In the next chapter, we shall study how to integrate them, so the present chapter also provides a transition from the differential theory to the integration theory.
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© 1999 Springer Science+Business Media New York
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Lang, S. (1999). Volume Forms. In: Fundamentals of Differential Geometry. Graduate Texts in Mathematics, vol 191. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0541-8_15
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DOI: https://doi.org/10.1007/978-1-4612-0541-8_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6810-9
Online ISBN: 978-1-4612-0541-8
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