The De Rham Decomposition Theorem For Metric Spaces

By T. Foertsch, A. Lytchak. 2006

59 citations recorded by the source corpus.

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

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d66be5daf4c840b9a2c144b6fce01858d49cc646

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Dominic Descombes
2. P. Caprace
3. A. Lytchak
4. U. Lang
5. S. Wenger
6. Shin-ichi Ohta
7. Pedro L. Kaufmann

In Astronomy and Astrophysics

1. Dominic Descombes
2. U. Lang
3. P. Caprace
4. A. Lytchak
5. Shin-ichi Ohta
6. S. Wenger

In Geometry and Topology

1. Dominic Descombes
2. P. Caprace
3. A. Lytchak
4. U. Lang
5. Denis V. Osin
6. Daan Krammer
7. Michah Sageev
8. Anthony Genevois

Citations in the corpus

• At infinity of finite-dimensional CAT(0) spaces (2008, background): “Building upon [ 11 ], it was then shown by Caprace–Monod [7, Corollary 4.3(ii)] that the same conclusion holds for proper CAT(0) spaces whose isometry group acts minimally, assuming that the Tits boundary is finite-dimensional.”
• Convex geodesic bicombings and hyperbolicity (2014, methodology): “Consistent and reversible geodesic bicombings have also been employed in [10,13].”