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Vaisman, Izu

Variétés riemanniennes feuilletées. (French) Zbl 0212.54202

Czech. Math. J. 21(96), 46-75 (1971).
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Cited in 21 Documents

MSC:

53C12 Foliations (differential geometric aspects)
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\textit{I. Vaisman}, Czech. Math. J. 21(96), 46--75 (1971; Zbl 0212.54202)
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References:

[1] Cartan E.: Leçons sur la géométrie des espaces de Riemann. Gauthier-Villars, Paris, 1946. · Zbl 0060.38101
[2] Chern S. S.: Complex manifolds without potential theory. D. Van Nostrand Comp. Princeton, 1967. · Zbl 0158.33002
[3] Goldberg S. I.: Curvature and Homology. Academic Press, New York, 1962. · Zbl 0105.15601
[4] Kodaira K., Spencer D. C.: Multifoliate structures. Ann. of Math. 74, 1961, p. 52-100. · Zbl 0123.16401
[5] Lichnerowicz A.: Théorie globale des connexions et des groupes d’holonomie. Cremonese, Roma, 1955. · Zbl 0116.39101
[6] Miron R., Papuc D. L.: Sur la théorie locale des distributions définies sur un espace à connexion affine. Rev. Roumaine de Math. pures et appl., XII, 1967, p. 537-543. · Zbl 0152.39003
[7] Reinhart B. L.: Harmonie integrals on almost product manifolds. Trans. A.M.S. 88 (1958), p. 243-276. · Zbl 0081.31602
[8] Reinhart B. L.: Foliated manifolds with bundle-like metrics. Ann. of Math., 69, 1959, p. 119–132. · Zbl 0122.16604
[9] Reinhart B. L.: Harmonic integrals on foliated manifolds. Amer. M. J., 81, 1959, p. 529-536, · Zbl 0088.07902
[10] Sasaki S.: On the differential geometry of tangent bundles of Riemannian manifolds. Tôhoku M. J., 10, 1958, p. 338–354. · Zbl 0086.15003
[11] Spencer D. C: De Rham theorems and Neumann decompositions associated with partial differential equations. ”Structures feuilletées”, Coll. C.N.R.S., Grenoble, 1963, p. 1-20.
[12] Vaisman I.: Sur quelques formules du calcul de Ricci global. Comm. Math. Helv., 41, 1966-67, p. 73-87. · Zbl 0147.41101
[13] Vaisman I.: Sur la cohomologie des variétés riemanniennes feuilletées. C.R. Acad. Sc. Paris, t. 268, Série A, p. 720-723. · Zbl 0175.20302
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