Riemannian geometry on quantum spaces

被引:10
|
作者
Ho, PM [1 ]
机构
[1] UNIV CALIF BERKELEY,LAWRENCE BERKELEY LAB,THEORET PHYS GRP,BERKELEY,CA 94720
来源
关键词
D O I
10.1142/S0217751X97000694
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
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 space and the two-sheeted space.
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页码:923 / 943
页数:21
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