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Blumenthal, Robert A.; Hebda, James J.

De Rham decomposition theorems for foliated manifolds. (English) Zbl 0487.57010

Ann. Inst. Fourier 33, No. 2, 183-198 (1983).
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Cited in 2 Reviews
Cited in 27 Documents

MSC:

57R30 Foliations in differential topology; geometric theory
53C12 Foliations (differential geometric aspects)

Keywords:

totally geodesic foliation with integrable normal bundle; product foliations; decomposition theorem for Riemannian foliations
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\textit{R. A. Blumenthal} and \textit{J. J. Hebda}, Ann. Inst. Fourier 33, No. 2, 183--198 (1983; Zbl 0487.57010)
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References:

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[3] R. A. BLUMENTHAL, Riemannian foliations with parallel curvature, Nagoya Math. J. (to appear). · Zbl 0508.57020
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[15] J. F. PLANTE, Measure preserving pseudogroups and a theorem of sacksteder, Annales Inst. Fourier, 25, 1 (1975), 237-249. · Zbl 0299.58007
[16] B. REINHART, Foliated manifolds with bundle-like metrics, Annals of Math., 69 (1959), 119-132. · Zbl 0122.16604
[17] G. DE RHAM, Sur la réductibilité d’un espace de Riemann, Comm. Math. Helv., 26 (1952), 328-344. · Zbl 0048.15701
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