Riemannian manifolds in noncommutative geometry

We present a definition of Riemannian manifold in noncommutative geometry. Using products of unbounded Kasparov modules, we show one can obtain such Riemannian manifolds from noncommutative spinc manifolds; and conversely, in the presence of a spinc structure. We also show how to obtain an analogue...

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Bibliographic Details

Published in:	Journal of geometry and physics Vol. 62; no. 7; pp. 1611 - 1638
Main Authors:	Lord, Steven, Rennie, Adam, Várilly, Joseph C.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.07.2012
Subjects:	Kasparov product Noncommutative geometry Spectral triple Spectral triple Noncommutative geometry Kasparov product
ISSN:	0393-0440, 1879-1662
Online Access:	Get full text
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