Non subanalyticity of sub-Riemannian Martinet spheres
Trélat, Emmanuel
HAL, hal-00086298 / Harvested from HAL
Text on HAL
Consider the sub-Riemannian Martinet structure $(M,\Delta,g)$ where $M=\R^3$, $\Delta={\rm{Ker }}(dz-{{y^2}\over{2}}dx)$ and $g$ is the general gradated metric of order $0$~: $g=(1+\alpha y)^2dx^2+(1+\beta x+\gamma y)^2dy^2$. We prove that if $\alpha\neq 0$ then the sub-Riemannian spheres $S(0,r)$ with small radii are not subanalytic.
Publié le : 2001-07-05
Classification:  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] 
@article{hal-00086298,
     author = {Tr\'elat, Emmanuel},
     title = {Non subanalyticity of sub-Riemannian Martinet spheres},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00086298}
}

Trélat, Emmanuel. Non subanalyticity of sub-Riemannian Martinet spheres. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00086298/