quantum projective space
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1997 ◽  
Vol 12 (05) ◽  
pp. 923-943 ◽  
Author(s):  
Pei-Ming Ho

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.


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