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Publication Date:
January 2011
ISSN:
1615-7168
DOI:
10.1515/advgeom.2010.044

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Advances in Geometry

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Characteristic forms of complex Cartan geometries

1

1University College Cork, National University of Ireland, Ireland

Citation Information: Advances in Geometry. Volume 11, Issue 1, Pages 138–168, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: 10.1515/advgeom.2010.044, January 2011

Publication History:
Received:
2008-12-12
Published Online:
2011-01-07

Abstract

We calculate relations on characteristic classes which are obstructions preventing closed Kähler 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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