Linear Connections on the Two Parameter Quantum Plane

Details Linear Connections on the Two Parameter Quantum Plane Linear Connections on the Two Parameter Quantum Plane

1995-07-27

arxiv.org/abs/q-alg/9507032v2

Mathematics

Quantum Algebra

7 pages, TeX

Scientific paper

10.1142/S0129055X9600038X

We apply a recently proposed definition of a linear connection in non
commutative geometry based on the natural bimodule structure of the algebra of
differential forms to the case of the two-parameter quantum plane. We find that
there exists a non trivial family of linear connections only when the two
parameters obeys a specific relation.

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