ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract: We introduce a complete invariant for Weyl manifolds, called a Poincaré–Cartan class. Applying the constructions of the Weyl manifold to complex manifolds via the Poincaré–Cartan class, we propose the notion of a noncommutative Kähler manifold. For a given Kähler manifold, the necessary and sufficient condition for a Weyl manifold to be a noncommutative Kähler manifold is given. In particular, there exists a noncommutative Kähler manifold for any Kähler manifold. We also construct the noncommutative version of the S 1-principal bundle over a quantizable Weyl manifold.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002200050356