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Topologie du feuilletage fortement stable

Françoise Dal'bo (2000)

Annales de l'institut Fourier

Soient X une variété de Hadamard de courbure - 1 et Γ un groupe d’isométries non élémentaire. Nous montrons qu’il y a équivalence entre la non-arithméticité du spectre des longueurs de Γ X , le mélange topologique du flot géodésique et l’existence d’une feuille dense pour le feuilletage fortement stable.

Toric Hermitian surfaces and almost Kähler structures

Włodzimierz Jelonek (2007)

Annales Polonici Mathematici

The aim of this paper is to investigate the class of compact Hermitian surfaces (M,g,J) admitting an action of the 2-torus T² by holomorphic isometries. We prove that if b₁(M) is even and (M,g,J) is locally conformally Kähler and χ(M) ≠ 0 then there exists an open and dense subset U ⊂ M such that ( U , g | U ) is conformally equivalent to a 4-manifold which is almost Kähler in both orientations. We also prove that the class of Calabi Ricci flat Kähler metrics related with the real Monge-Ampère equation is a...

Torsion and the second fundamental form for distributions

Geoff Prince (2016)

Communications in Mathematics

The second fundamental form of Riemannian geometry is generalised to the case of a manifold with a linear connection and an integrable distribution. This bilinear form is generally not symmetric and its skew part is the torsion. The form itself is closely related to the shape map of the connection. The codimension one case generalises the traditional shape operator of Riemannian geometry.

Torsions of connections on higher order cotangent bundles

Miroslav Doupovec, Jan Kurek (2003)

Czechoslovak Mathematical Journal

By a torsion of a general connection Γ on a fibered manifold Y M we understand the Frölicher-Nijenhuis bracket of Γ and some canonical tangent valued one-form (affinor) on Y . Using all natural affinors on higher order cotangent bundles, we determine all torsions of general connections on such bundles. We present the geometrical interpretation and study some properties of the torsions.

Torsions of connections on time-dependent Weil bundles

Miroslav Doupovec (2003)

Colloquium Mathematicae

We introduce the concept of a dynamical connection on a time-dependent Weil bundle and we characterize the structure of dynamical connections. Then we describe all torsions of dynamical connections.

Total connections in Lie groupoids

Juraj Virsik (1995)

Archivum Mathematicum

A total connection of order r in a Lie groupoid Φ over M is defined as a first order connections in the ( r - 1 ) -st jet prolongations of Φ . A connection in the groupoid Φ together with a linear connection on its base, ie. in the groupoid Π ( M ) , give rise to a total connection of order r , which is called simple. It is shown that this simple connection is curvature-free iff the generating connections are. Also, an r -th order total connection in Φ defines a total reduction of the r -th prolongation of Φ to Φ × Π ( M ) ....

Currently displaying 361 – 380 of 467