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Riemannian Geometry on Quantum Spaces

Year: 1997
Type: article
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.
Author: Pei-Ming Ho
Language: English
Open Access status: green
OpenAlex ID: W2021453744
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Cited by: 9
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