Abstract
In this chapter, our goal is to construct geometries on commutative spaces. That is to say, given a noncommutative space admitting a differential calculus that is in fact commutative —in other words, an algebra A=C∞ (M) for some differential manifold M— we shall find the extra structures that give rise to geometries.
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© 2001 Springer Science+Business Media New York
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Gracia-Bondía, J.M., Várilly, J.C., Figueroa, H. (2001). Commutative Geometries. In: Elements of Noncommutative Geometry. Birkhäuser Advanced Texts. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0005-5_9
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DOI: https://doi.org/10.1007/978-1-4612-0005-5_9
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6569-6
Online ISBN: 978-1-4612-0005-5
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