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On tangential cohomology of Riemannian foliations. (English) Zbl 1111.53025

Summary: We prove Künneth formula, Poincaré duality, Hopf formula and index theorem for tangentially oriented compact Riemannian foliations.

MSC:

53C12 Foliations (differential geometric aspects)
57R30 Foliations in differential topology; geometric theory
58A12 de Rham theory in global analysis
58J20 Index theory and related fixed-point theorems on manifolds
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