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We prove that the Lie algebra of infinitesimal automorphisms of the transverse structure on the total space of the transverse bundle of a foliation is isomorphic to the semi-direct product of the Lie algebra of the infinitesimal automorphism of the foliation by the vector space of the transverse vector fields. The derivations of this algebra are entirely determined and we prove that this Lie algebra characterises the foliated structure of a compact Hausdorff foliation.

Universal prolongation of linear partial differential equations on filtered manifolds

Katharina Neusser (2009)

Archivum Mathematicum

The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type. This leads immediately to obstructions to the existence of solutions. Moreover, we will deduce that the solution space of such equations is always finite dimensional.

Variations on the theme of twistor spaces.

Vaisman, I. (1998)

Balkan Journal of Geometry and its Applications (BJGA)

Yamabe operator via BGG sequences

Vít Tuček (2012)

Archivum Mathematicum

We show that the conformally invariant Yamabe operator on a complex conformal manifold can be constructed as a first BGG operator by inducing from certain infinite-dimensional representation.

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The image in $H^{2} (Q^{3}; ℝ)$ of the set of closed 2-forms with preassigned kernel

The Jacobi fields for a spray on the tangent bundle.

The only global contact transformations of order two or more are point transformations.

Un invariant algébrique associé à une application continue

Une caractérisation du fibré transverse.

Universal prolongation of linear partial differential equations on filtered manifolds

Variations on the theme of twistor spaces.

Yamabe operator via BGG sequences

Геодезический поток на SL(2, $ℝ)$ с неголономными ограничениями

О соответствии Беклунда

Расслоение нильпотентных алгебр Ли над неголономным многообразием (нильпотентизация)

Currently displaying 81 – 91 of 91