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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 194 (1998), S. 207-230 
    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
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