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Riemannian Geometry on Quantum Spaces

Name: Riemannian Geometry on Quantum Spaces
Creator: Pei-Ming Ho
Keywords: High Energy Physics - Theory, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Noncommutative differential geometry, 01 natural sciences

Riemannian geometry on quantum spaces.

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 20 Feb 1997Embargo end date: 01 Jan 1995Publisher:World Scientific Pub Co Pte LtJournal:International Journal of Modern Physics A, volume 12, pages 923-943 (issn: 0217-751X, eissn: 1793-656X,

Authors: Pei-Ming Ho;

doi: 10.1142/s0217751x97000694 , 10.48550/arxiv.q-alg/9505021

arXiv: http://arxiv.org/abs/q-alg/9505021

Riemannian Geometry on Quantum Spaces

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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 space and the two-sheeted space.

Related Organizations

University of California, Berkeley
United States

Keywords

High Energy Physics - Theory, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Noncommutative differential geometry, Yang-Mills and other gauge theories in quantum field theory

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