dorsal/arxiv
View SchemaRiemannian Geometry on Quantum Spaces
| Authors | Pei-Ming Ho |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9505021 |
| URL | https://arxiv.org/abs/q-alg/9505021 |
| DOI | 10.1142/S0217751X97000694 |
| Journal | Int.J.Mod.Phys. A12 (1997) 923-943 |
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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"abstract": "An algebraic formulation of Riemannian geometry on quantum spaces is\npresented, where Riemannian metric, distance, Laplacian, connection, and\ncurvature have their counterparts. This description is also extended to complex\nmanifolds. Examples include the quantum sphere, the complex quantum projective\nspaces and the two-sheeted space.",
"arxiv_id": "q-alg/9505021",
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"doi": "10.1142/S0217751X97000694",
"journal_ref": "Int.J.Mod.Phys. A12 (1997) 923-943",
"title": "Riemannian Geometry on Quantum Spaces",
"url": "https://arxiv.org/abs/q-alg/9505021"
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