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arxiv: 1307.1138 · v2 · pith:WKZVUDOJnew · submitted 2013-07-03 · 🧮 math.DG · math.FA

Decompositions and complexifications of homogeneous spaces

classification 🧮 math.DG math.FA
keywords spacesdecompositionhomogeneoustheoremappliedcomplexificationcomplexificationscontext
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In this paper an extended CPR decomposition theorem for Finsler symmetric spaces of semi-negative curvature in the context of reductive structures is proven. This decomposition theorem is applied to give a geometric description of the complexification of some infinite dimensional homogeneous spaces.

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