Characteristic forms of complex Cartan geometries

Details Characteristic forms of complex Cartan geometries Characteristic forms of complex Cartan geometries

2007-04-19

arxiv.org/abs/0704.2555v2

Mathematics

Differential Geometry

29 pages (on A4 paper). I split off the results about Calabi-Yaus into a separate paper

Scientific paper

We calculate relations on characteristic classes which are obstructions
preventing closed K\"ahler manifolds from carrying holomorphic Cartan
geometries. We apply these relations to give global constraints on the phase
spaces of complex analytic determined and underdetermined systems of
differential equations.

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