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Let $ℱ$ be a transversely orientable transversely real-analytic codimension one minimal foliation of a paracompact manifold $M$ . We show that if the fundamental group of each leaf of $ℱ$ is isomorphic to $Z$ , then $ℱ$ is without holonomy. We also show that if $π_{2} (M) ≅ 0$ and the fundamental group of each leaf of $ℱ$ is isomorphic to $Z^{k}$ ( $k \in Z_{\geq 0}$ ), then $ℱ$ is without holonomy.

Codimension one symplectic foliations.

Omegar Calvo, Vicente Muñoz, Francisco Presas (2005)

Revista Matemática Iberoamericana

We define the concept of symplectic foliation on a symplectic manifold and provide a method of constructing many examples, by using asymptotically holomorphic techniques.

Coefficients généralisés de séries principales sphériques et distributions sphériques sur G.../G... .

P. Delorme (1991)

Inventiones mathematicae

Coherent states and symmetric spaces. II

M. I. Monastyrsky, A. M. Perelomov (1975)

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

Cohomogeneity and positive curvature in low dimensions.

Catherine Searle (1993)

Mathematische Zeitschrift

Cohomological Einstein Kaehler Manifolds Characterized by the Spectrum.

Domenico Perrone (1984)

Mathematische Zeitschrift

Cohomologie basique et dualité des feuilletages riemanniens

Vlad Sergiescu (1985)

Annales de l'institut Fourier

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

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

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

Collapsing and soul theorem in three-dimension

Tatao Yamaguchi (1996/1997)

Séminaire de théorie spectrale et géométrie

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