The de Rham decomposition theorem for metric spaces

2006/05/16 by Thomas Foertsch, Alexander Lytchak, Foertsch, Thomas +1 · 1 citation
Physics and Astronomy · Mathematics · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Morphological variations and asymmetry

paper · pdf · doi:10.48550/arxiv.math/0605419

Abstract

We generalize the classical de Rham decomposition theorem for Riemannian manifolds to the setting of geodesic metric spaces of finite dimension.

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• Isometries of the Ebin metric

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