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Fondements de la théorie des $*_{v}$ -produits. Notion de $*_{v}$ -produit de Vey; tout $*_{v}$ -produit est équivalent à un $*_{v}$ -produit de Vey. Sur toute variété symplectique paracompacte $(W, F)$ telle que $b_{3} (W) = 0$ , il existe des $*_{v}$ -produits de Vey. Caractérisation des algèbres de Lie engendrées par antisymétrisation d’un $*_{v}$ -produit (éventuellement faible); ce sont à une équivalence près, les algèbres de Lie de Vey.On considère les variétés symplectiques $(W, F)$ sur lesquelles opère, par symplectomorphismes, un groupe de Lie $G$ . Si $(W, F)$ admet...

Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary.

Joyce, Dominic, Salur, Sema (2005)

Geometry & Topology

Deformations of representations of discrete subgroups of SO (3,1).

Michael Kapovich (1994)

Mathematische Annalen

Deformations of structures, embedding of a Riemannian manifold in a Kählerian one and geometric antigravitation

Alexander A. Ermolitski (2007)

Banach Center Publications

Tubular neighborhoods play an important role in modern differential topology. The main aim of the paper is to apply these constructions to geometry of structures on Riemannian manifolds. Deformations of tensor structures on a normal tubular neighborhood of a submanifold in a Riemannian manifold are considered in section 1. In section 2, this approach is used to obtain a Kählerian structure on the corresponding normal tubular neighborhood of the null section in the tangent bundle TM of a smooth manifold...

Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization

Carlos Moreno, Pilar Ortega-Navarro (1983)

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

Der Indexsatz für geschlossene Geodätische.

Wilhelm Klingenberg (1974)

Mathematische Zeitschrift

Description lagrangienne d'un boson scalaire à l'aide d'un triplet nucléaire

Paul Krée (1976/1977)

Séminaire Paul Krée

Diffeomorphism groups on noncompact manifolds

Zapiski naucnych seminarov POMI

Difféomorphismes d'une variété symplectique non compacte.

Guy Rousseau (1978)

Commentarii mathematici Helvetici

Differential and geometric structure for the tangent bundle of a projective limit manifold

George N. Galanis (2004)

Rendiconti del Seminario Matematico della Università di Padova

Differential geometry of canonical quantization

Norman E. Hurt (1971)

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

Dirac brackets in geometric dynamics

Jedrzej Śniatycki (1974)

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

Distinguished connections on $(J^{2} = \pm 1)$ -metric manifolds

Fernando Etayo, Rafael Santamaría (2016)

Archivum Mathematicum

We study several linear connections (the first canonical, the Chern, the well adapted, the Levi Civita, the Kobayashi-Nomizu, the Yano, the Bismut and those with totally skew-symmetric torsion) which can be defined on the four geometric types of $(J^{2} = \pm 1)$ -metric manifolds. We characterize when such a connection is adapted to the structure, and obtain a lot of results about coincidence among connections. We prove that the first canonical and the well adapted connections define a one-parameter family of adapted...

Dolbeault homotopy theory and compact nilmanifolds

L. Cordero, M. Fernández, A. Gray, L. Ugarte (1998)

Banach Center Publications

In this paper we study the degeneration of both the cohomology and the cohomotopy Frölicher spectral sequences in a special class of complex manifolds, namely the class of compact nilmanifolds endowed with a nilpotent complex structure. Whereas the cohomotopy spectral sequence is always degenerate for such a manifold, there exist many nilpotent complex structures on compact nilmanifolds for which the classical Frölicher spectral sequence does not collapse even at the second term.

Donaldson invariants of certain symplectic manifolds.

András Stipsicz (1995)

Journal für die reine und angewandte Mathematik

Donaldson series and (-1)-tori.

András Stipsicz (1995)

Journal für die reine und angewandte Mathematik

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