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 |
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Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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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. |
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ISSN: | 0022-2488 1089-7658 |
DOI: | 10.1063/1.1515110 |