De Rham Decomposition for Riemannian Manifolds with Boundary

De Rham Decomposition for Riemannian Manifolds with Boundary

In this paper, we extend the classical de Rham decomposition theorem to the case of Riemannian manifolds with boundary by using the trick of the development of curves.

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Veröffentlicht in:Acta mathematica scientia 2023, Vol.43 (1), p.51-62
1. Verfasser: Yu, Chengjie
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:In this paper, we extend the classical de Rham decomposition theorem to the case of Riemannian manifolds with boundary by using the trick of the development of curves.
ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-023-0104-9