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A parallelism for contact conformal sub-Riemannian geometry
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Published/Copyright:
March 2, 2009
Abstract
We define a sub-conformal structure on a contact distribution over a smooth manifold and find a complete set of local invariants. This structure is shown to be a generalization of CR structures and the sub-conformal invariants reduce to the CR invariants in that case. It includes a class of almost CR structures which arise naturally as hypersurfaces of almost complex manifolds. The main difficulty of our construction is that, contrary to the integrable CR case, the appropriate bundle of coframes where the invariants are defined is not a G-structure.
Received: 1996-09-7
Published Online: 2009-03-02
Published in Print: 1998-07-10
© Walter de Gruyter
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- A parallelism for contact conformal sub-Riemannian geometry
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Articles in the same Issue
- Boundary value problem with an oblique derivative for uniformly elliptic operators with discontinuous coefficients
- Radon transforms on the symmetric group and harmonic analysis of a class of invariant Laplacians
- Linear submanifolds and bisectors in ℂHn
- Affine Hughes groups acting on 4-dimensional compact projective planes
- A parallelism for contact conformal sub-Riemannian geometry
- Finite groups with smooth one fixed point actions on spheres
