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Nous démontrons des théorèmes de dualité de Poincaré et de de Rham pour la cohomologie basique et l’homologie des courants transverses invariants d’un feuilletage riemannien.

Cohomologie bornée des surfaces et courants géodésiques

Jean-Claude Picaud (1997)

Bulletin de la Société Mathématique de France

Cohomologie quantique

Michèle Audin (1995/1996)

Séminaire Bourbaki

Cohomologie tangente et cup-produit pour la quantification de Kontsevich

Dominique Manchon, Charles Torossian (2003)

Annales mathématiques Blaise Pascal

On a flat manifold $M = ℝ^{d}$ , M. Kontsevich’s formality quasi-isomorphism is compatible with cup-products on tangent cohomology spaces, in the sense that for any formal Poisson $2$ -tensor $ℏ γ$ the derivative at $ℏ γ$ of the quasi-isomorphism induces an isomorphism of graded commutative algebras from Poisson cohomology space to Hochschild cohomology space relative to the deformed multiplication built from $ℏ γ$ via the quasi-isomorphism. We give here a detailed proof of this result, with signs and orientations precised....

Cohomologies et déformations de certaines algèbres de Lie $ℤ$ -graduées

Faouzi Ammar (1995)

Publications du Département de mathématiques (Lyon)

Cohomology and connection on $S 1$ -bundles

Gross, Christian (1996)

Proceedings of the 15th Winter School "Geometry and Physics"

Cohomology of biquotients.

J.-H. Eschenburg (1992)

Manuscripta mathematica

Cohomology of Compact Hyperkähler Manifolds and its Applications.

M. Verbitsky (1996)

Geometric and functional analysis

Cohomology of CR-submanifolds

Bang-Yen Chen (1981)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Cohomology of Symplectomorphism Groups and Critical Values of Hamiltonians.

Alan Weinstein (1989)

Mathematische Zeitschrift

Coincidence set of minimal surfaces for the thin obstacle.

Ioannis Athanasopoulos (1983)

Manuscripta mathematica

Coisotropic bundles and induced representations

Lisiecki, Wojciech (1984)

Proceedings of the 12th Winter School on Abstract Analysis

Coisotropic varieties and their generating families

S. Janeczko (1992)

Annales de l'I.H.P. Physique théorique

Collapse of warped submersions

Szymon M. Walczak (2006)

Annales Polonici Mathematici

We generalize the concept of warped manifold to Riemannian submersions π: M → B between two compact Riemannian manifolds $(M, g_{M})$ and $(B, g_{B})$ in the following way. If f: B → (0,∞) is a smooth function on B which is extended to a function f̂ = f ∘ π constant along the fibres of π then we define a new metric $g_{f}$ on M by $g_{f} |_{\times} \equiv g_{M} |_{\times}, g_{f} {|_{\times T M ̂} \equiv f ̂ ² g_{M} |}_{\times T M ̂}$ , where and denote the bundles of horizontal and vertical vectors. The manifold $(M, g_{f})$ obtained that way is called a warped submersion. The function f is called a warping function. We show a necessary...

Collapsed Riemannian Manifolds with Bounded Diameter and Bounded Covering Geometry.

J. Cheeger, X. Rong (1995)

Geometric and functional analysis

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