Metrically thin singularities of integrable CR functions
Merker, Joel ; Porten, Egmont
HAL, hal-00003375 / Harvested from HAL
In this article, we consider metrically thin singularities A of the tangential Cauchy-Riemann operator on smoothly embedded Cauchy-Riemann manifolds M. The main result states removability within the space of locally integrable functions on M under the hypothesis that the (dim M-2)-dimensional Hausdorff volume of A is zero and that the CR-orbits of M and M-A are comparable.
Publié le : 2000-07-05
Classification:  analytic discs,  Integrable CR functions,  removable singularities for the tangential Cauchy-Riemann operator,  32D20, 32A20, 32D10, 32C16,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
@article{hal-00003375,
     author = {Merker, Joel and Porten, Egmont},
     title = {Metrically thin singularities of integrable CR functions},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003375}
}
Merker, Joel; Porten, Egmont. Metrically thin singularities of integrable CR functions. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003375/