Riemannian Geometry on Quantum Spaces
- 20 February 1997
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics A
- Vol. 12 (5) , 923-943
- https://doi.org/10.1142/s0217751x97000694
Abstract
An algebraic formulation of Riemannian geometry on quantum spaces is presented, where Riemannian metric, distance, Laplacian, connection, and curvature have their counterparts. This description is also extended to complex manifolds. Examples include the quantum sphere, the complex quantum projective space and the two-sheeted space.Keywords
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