The uniqueness in the de Rham-Wu decomposition
Zhiqi Chen
TL;DR
This paper investigates the conditions under which the de Rham-Wu decomposition of pseudo-Riemannian manifolds is unique, providing insights into the structure and classification of these manifolds.
Contribution
It offers new criteria for the uniqueness of the de Rham-Wu decomposition in pseudo-Riemannian geometry.
Findings
Established conditions ensuring uniqueness
Characterized classes of manifolds with unique decompositions
Enhanced understanding of pseudo-Riemannian manifold structures
Abstract
In this paper, we study the uniqueness in the de Rham-Wu decomposition for pseudo-Riemannian manifolds.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology