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Möbiussche Bewegungen der Ebene mit mehrfach durchlaufenen Bahnkurven

Zdeněk Jankovský (1985)

Aplikace matematiky

Im Artikel wird eine spezielle Klasse der Möbiusschen Bewegungen der Ebene, die so gegeben werden, daß eine gewisse Punktfolge ς i in gleichen Zeitintervallen dieselbe Bahnkurve durchläuft, studiert. Die Bestimmung dieser Bewegungen führt zur Lösung eines im allgemeinen nichtlinearen Systems von Differenzengleichungen. Im Artikel wird eine Unterklasse T dieser Bewegungen, die durch die Lösung eines speziellen linearen Systems der Differenzengleichungen festgestellt wird, studiert. Dessen Lösung führt...

Modeling repulsive forces on fibres via knot energies

Simon Blatt, Philipp Reiter (2014)

Molecular Based Mathematical Biology

Modeling of repulsive forces is essential to the understanding of certain bio-physical processes, especially for the motion of DNA molecules. These kinds of phenomena seem to be driven by some sort of “energy” which especially prevents the molecules from strongly bending and forming self-intersections. Inspired by a physical toy model, numerous functionals have been defined during the past twenty-five years that aim at modeling self-avoidance. The general idea is to produce “detangled” curves having...

Modular classes of Q-manifolds: a review and some applications

Andrew James Bruce (2017)

Archivum Mathematicum

A Q-manifold is a supermanifold equipped with an odd vector field that squares to zero. The notion of the modular class of a Q-manifold – which is viewed as the obstruction to the existence of a Q-invariant Berezin volume – is not well know. We review the basic ideas and then apply this technology to various examples, including L -algebroids and higher Poisson manifolds.

Modular vector fields and Batalin-Vilkovisky algebras

Yvette Kosmann-Schwarzbach (2000)

Banach Center Publications

We show that a modular class arises from the existence of two generating operators for a Batalin-Vilkovisky algebra. In particular, for every triangular Lie bialgebroid (A,P) such that its top exterior power is a trivial line bundle, there is a section of the vector bundle A whose d P -cohomology class is well-defined. We give simple proofs of its properties. The modular class of an orientable Poisson manifold is an example. We analyse the relationships between generating operators of the Gerstenhaber...

Modules pour les familles de courbes planes

Jean-Paul Dufour (1989)

Annales de l'institut Fourier

L’étude des familles de courbes plane différentiables se ramène a celle des diagrammes f S σ 2 S est une surface, f et σ étant différentiables. Dans la classification de ces diagrammes à équivalence près il apparaît trois types de modules: des modules locaux attachés à chaque fronce de σ , des modules semi-locaux attachés à la superposition en un même point de plusieurs situations locales, des modules globaux attachés aux “courbes de contact” le long desquelles certaines courbes sont tangentes. Nous explicitons...

Currently displaying 181 – 200 of 243