De Rham–Wu decomposition of holomorphic Riemannian manifolds

It is shown that a de Rham–Wu decomposition for holomorphic Riemannian manifolds is obtained easily from the underlying real geometry of holomorphic Riemannian manifolds by appealing to H. Wu’s extension to pseudo-Riemannian manifolds of de Rham’s decomposition theorem.

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Veröffentlicht in:Journal of mathematical physics 2002-12, Vol.43 (12), p.6339-6342
1. Verfasser: Law, Peter R.
Format: Artikel
Sprache:eng
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Zusammenfassung:It is shown that a de Rham–Wu decomposition for holomorphic Riemannian manifolds is obtained easily from the underlying real geometry of holomorphic Riemannian manifolds by appealing to H. Wu’s extension to pseudo-Riemannian manifolds of de Rham’s decomposition theorem.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1515110