Riemannian Geometry on Quantum Spaces

Details Riemannian Geometry on Quantum Spaces Riemannian Geometry on Quantum Spaces

1995-05-17

arxiv.org/abs/q-alg/9505021v2

Int.J.Mod.Phys. A12 (1997) 923-943

Physics

High Energy Physics

High Energy Physics - Theory

revised version

Scientific paper

10.1142/S0217751X97000694

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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