Reducing almost Lagrangian structures and almost CR geometries to partially integrable structures

Details Reducing almost Lagrangian structures and almost CR geometries to partially integrable structures Reducing almost Lagrangian structures and almost CR geometries to partially integrable structures

2008-07-08

arxiv.org/abs/0807.1234v2

Mathematics

Differential Geometry

6 pages, acknowledgements added

Scientific paper

This paper demostrates a method for analysing almost CR geometries $(H,J)$, by uniquley defining a partially integrable structure $(H,K)$ from the same data. Thus two almost CR geometries $(H,J)$ and $(H',J')$ are equivalent if and and only if they generate isomorphic induced partially integrable CR geometries $(H,K)$ and $(H',K')$, and if the set of CR morphisms between these spaces contains an element that maps $J$ to $J'$. Similar results hold for almost Lagrangian structures.

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