Bulletin of the American Mathematical Society

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Book Information:

Author: Philippe Tondeur
Title: Foliations on Riemannian manifolds
Additional book information: Universitext, Springer-Verlag, Berlin, Heidelberg, London, New York, Paris, Tokyo, 1988, 247 pp. $29.80. ISBN 0-387-96707-9 and ISBN 3-540-96707-9.

Author: Pierre Molino
Title: Riemannian foliations
Additional book information: (Translated by Grant Cairns). Progress in Mathematics, vol. 73, Birkhäuser, Boston, Basel, 1986, 339 pp. $44.00. ISBN 0-8176-3370-7 and ISBN 3-7643-3370-7.

Lawrence Conlon, Transversally parallelizable foliations of codimension two, Trans. Amer. Math. Soc. 194 (1974), 79–102, erratum, ibid. 207 (1975), 406. MR 370617, DOI 10.1090/S0002-9947-1974-0370617-0

Aziz El Kacimi-Alaoui and Gilbert Hector, Décomposition de Hodge sur l’espace des feuilles d’un feuilletage riemannien, C. R. Acad. Sci. Paris Sér. I Math. 298 (1984), no. 13, 289–292 (French, with English summary). MR 765425

A. El Kacimi-Alaoui and G. Hector, Décomposition de Hodge basique pour un feuilletage riemannien, Ann. Inst. Fourier (Grenoble) 36 (1986), no. 3, 207–227 (French, with English summary). MR 865667

Aziz El Kacimi-Alaoui, Vlad Sergiescu, and Gilbert Hector, La cohomologie basique d’un feuilletage riemannien est de dimension finie, Math. Z. 188 (1985), no. 4, 593–599 (French). MR 774559, DOI 10.1007/BF01161658

Franz W. Kamber and Philippe Tondeur, Duality for Riemannian foliations, Singularities, Part 1 (Arcata, Calif., 1981) Proc. Sympos. Pure Math., vol. 40, Amer. Math. Soc., Providence, RI, 1983, pp. 609–618. MR 713097

Franz W. Kamber and Philippe Tondeur, Foliations and metrics, Differential geometry (College Park, Md., 1981/1982) Progr. Math., vol. 32, Birkhäuser Boston, Boston, MA, 1983, pp. 103–152. MR 702530

Franz W. Kamber and Philippe Tondeur, Duality theorems for foliations, Astérisque 116 (1984), 108–116. Transversal structure of foliations (Toulouse, 1982). MR 755165

Franz W. Kamber and Philippe Tondeur, de Rham-Hodge theory for Riemannian foliations, Math. Ann. 277 (1987), no. 3, 415–431. MR 891583, DOI 10.1007/BF01458323

Pierre Molino, Sur la géométrie transverse des feuilletages, Ann. Inst. Fourier (Grenoble) 25 (1975), no. 2, xiv, 279–284 (French, with English summary). MR 391123

Pierre Molino, Étude des feuilletages transversalement complets et applications, Ann. Sci. École Norm. Sup. (4) 10 (1977), no. 3, 289–307 (French). MR 458446

Pierre Molino, Feuilletages riemanniens sur les variétés compactes; champs de Killing transverses, C. R. Acad. Sci. Paris Sér. A-B 289 (1979), no. 7, A421–A423 (French, with English summary). MR 554633

Pierre Molino, Géométrie globale des feuilletages riemanniens, Nederl. Akad. Wetensch. Indag. Math. 44 (1982), no. 1, 45–76 (French). MR 653455

Georges Reeb, Sur certaines propriétés topologiques des variétés feuilletées, Publ. Inst. Math. Univ. Strasbourg, vol. 11, Hermann & Cie, Paris, 1952 (French). MR 0055692

Bruce L. Reinhart, Foliated manifolds with bundle-like metrics, Ann. of Math. (2) 69 (1959), 119–132. MR 107279, DOI 10.2307/1970097

Bruce L. Reinhart, Harmonic integrals on foliated manifolds, Amer. J. Math. 81 (1959), 529–536. MR 107280, DOI 10.2307/2372756

[C] L. Conlon, Transversally parallelizable foliations of codimension 2, Trans. Amer. Math. Soc. 194 (1974), 79-102. MR 0370617




[EH1] A. El Kacimi-Alaoui and G. Hector, Décomposition de Hodge sur l'espaces des feuilles d'un feuilletage Riemannien, C. R. Acad. Sci. Paris Sér. I Math. 298 (1984), 289-292. MR 765425




[EH2] A. El Kacimi-Alaoui and G. Hector, Décomposition de Hodge basique pour un feuilletage Riemannien, Ann. Inst. Fourier (Grenoble) 36 (1986), 207-227. MR 865667




[EHS] A. El Kacimi-Alaoui, G. Hector, and V. Sergiescu, La cohomologie basique d'un feuilletage Riemannien est de dimension finie, Math. Z. 188 (1985), 593-599. MR 774559




[KT1] F. Kamber and Ph. Tondeur, Duality for Riemannian foliations, Proc. Sympos. Pure Math. 40 (1983), 609-618 (Part 1). MR 713097




[KT2] F. Kamber and Ph. Tondeur, Foliations and metrics, Proceedings of a Year in Differential Geometry, University of Maryland, Prog, in Math., vol. 32, Birkhäuser, Boston, Basel, 1983, pp. 103-152. MR 702530




[KT3] F. Kamber and Ph. Tondeur, Duality theorems for foliations, Astérisque 116 (1984), 108-116. MR 755165




[KT4] F. Kamber and Ph. Tondeur, De Rham-Hodge theory for Riemannian foliations, Math. Ann. 277 (1987), 415-431. MR 891583




[M1] P. Molino, Sur la géométrie transverse des feuilletages, Ann. Inst. Fourier (Grenoble) 25 (1975), 279-284. MR 391123




[M2] P. Molino, Etude des feuilletages transversalement complets et applications, Ann. Sci. École Norm. Sup. 10 (1977), 289-307. MR 458446




[M3] P. Molino, Feuilletages Riemanniens sur les variétés compactes; champs de Killing transverses, C. R. Acad. Sci. Paris Sér. I Math. 289 (1979), 421-423. MR 554633




[M4] P. Molino, Géométrie globale des feuilletages Riemanniens, Nedèr. Akad. Wetensch., Indag. Math. 85 (1982), 45-76. MR 653455




[Rb] G. Reeb, Sur certains propriétés topologiques des variétés feuilletées, Hermann, Paris, 1952. MR 55692




[Rt1] B. Reinhart, Foliated manifolds with bundle-like metrics, Ann. of Math. 69 (1959), 119-132. MR 107279




[Rt2] B. Reinhart, Harmonic integrals on foliated manifolds, Amer. J. Math. 81 (1959), 529-536. MR 107280