Riemannian Geometry on Quantum Spaces

Pei-Ming Ho

doi:10.1142/s0217751x97000694

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Riemannian Geometry on Quantum Spaces

Pei-Ming Ho

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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 spaces and the two-sheeted space.

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Pei-Ming Ho. 1996-03-08. Riemannian Geometry on Quantum Spaces. https://doi.org/10.1142/s0217751x97000694

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