Riemannian Geometry on Quantum Spaces
q-alg
2009-10-28 v2 高能物理 - 理论
量子代数
摘要
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.
引用
@article{arxiv.q-alg/9505021,
title = {Riemannian Geometry on Quantum Spaces},
author = {Pei-Ming Ho},
journal= {arXiv preprint arXiv:q-alg/9505021},
year = {2009}
}
备注
revised version