Wave Front Sets Singularities of Homogeneous Sub-Riemannian Three Dimensional Manifolds
- V´Ä±ctor Ayala vayala@ucn.cl
- Marcos M. Diniz mdiniz@ufpa.br
- Jos´e C.P. Lima pojo@ufpa.br
- Jos´e M.M. Veloso veloso@ufpa.br
- Ivan Tribuzy argo@ufam.br
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Abstract
A graphic study of wave front sets of exponential sub-Riemannian maps is performed for homogeneous three dimensional sub-Riemannian manifolds. We verify that depending on dimension of the sub-Riemannian isometry group of the manifold, the first singularities of wave front sets are of two types. If the group is four dimensional, the singularity is a conjugate point. If the group is three dimensional, there are two conjugate points and the wave front set intersects along a segment which connects both points.
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Published
2008-07-01
How to Cite
[1]
V. Ayala, M. M. Diniz, J. C. Lima, J. M. Veloso, and I. Tribuzy, “Wave Front Sets Singularities of Homogeneous Sub-Riemannian Three Dimensional Manifolds”, CUBO, vol. 10, no. 2, pp. 107–134, Jul. 2008.
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