Displaying similar documents to “Almost complex projective structures and their morphisms”

Remarks on F-planar curves and their generalizations

Jaroslav Hrdina (2011)

Banach Center Publications

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Generalized planar curves (A-curves) are more general analogues of F-planar curves and geodesics. In particular, several well known geometries are described by more than one affinor. The best known example is the almost quaternionic geometry. A new approach to this topic (A-structures) was started in our earlier papers. In this paper we expand the concept of A-structures to projective A-structures.

Schwarzian derivative related to modules of differential operators on a locally projective manifold

S. Bouarroudj, V. Ovsienko (2000)

Banach Center Publications

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We introduce a 1-cocycle on the group of diffeomorphisms Diff(M) of a smooth manifold M endowed with a projective connection. This cocycle represents a nontrivial cohomology class of Diff(M) related to the Diff(M)-modules of second order linear differential operators on M. In the one-dimensional case, this cocycle coincides with the Schwarzian derivative, while, in the multi-dimensional case, it represents its natural and new generalization. This work is a continuation of [3] where the...

The intrinsic torsion of almost quaternion-Hermitian manifolds

Francisco Martín Cabrera, Andrew Swann (2008)

Annales de l’institut Fourier

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We study the intrinsic torsion of almost quaternion-Hermitian manifolds via the exterior algebra. In particular, we show how it is determined by particular three-forms formed from simple combinations of the exterior derivatives of the local Kähler forms. This gives a practical method to compute the intrinsic torsion and is applied in a number of examples. In addition we find simple characterisations of HKT and QKT geometries entirely in the exterior algebra and compute how the intrinsic...

Tangent Dirac structures of higher order

P. M. Kouotchop Wamba, A. Ntyam, J. Wouafo Kamga (2011)

Archivum Mathematicum

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Let L be an almost Dirac structure on a manifold M . In [2] Theodore James Courant defines the tangent lifting of L on T M and proves that: If L is integrable then the tangent lift is also integrable. In this paper, we generalize this lifting to tangent bundle of higher order.