Geodesic
SUFFICIENT CONDITIONS FOR THE EXISTENCE OF LIMITING CARLEMAN WEIGHTS
Forum of Mathematics, Sigma, Tome 5 (2017)

Voir la notice de l'article provenant de la source Cambridge University Press

In Angulo-Ardoy et al. [Anal. PDE, 9(3) (2016), 575–596], we found some necessary conditions for a Riemannian manifold to admit a local limiting Carleman weight (LCW), based on the Cotton–York tensor in dimension 3 and the Weyl tensor in dimension 4. In this paper, we find further necessary conditions for the existence of local LCWs that are often sufficient. For a manifold of dimension 3 or 4, we classify the possible Cotton–York, or Weyl tensors, and provide a mechanism to find out whether the manifold admits local LCW for each type of tensor. In particular, we show that a product of two surfaces admits an LCW if and only if at least one of the two surfaces is of revolution. This provides an example of a manifold satisfying the eigenflag condition of Angulo-Ardoy et al. [Anal. PDE, 9(3) (2016), 575–596] but not admitting LCW. 
@article{10_1017_fms_2017_4,
     author = {PABLO ANGULO-ARDOY and DANIEL FARACO and LUIS GUIJARRO},
     title = {SUFFICIENT {CONDITIONS} {FOR} {THE} {EXISTENCE} {OF} {LIMITING} {CARLEMAN} {WEIGHTS}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {5},
     year = {2017},
     doi = {10.1017/fms.2017.4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2017.4/}
}
TY  - JOUR
AU  - PABLO ANGULO-ARDOY
AU  - DANIEL FARACO
AU  - LUIS GUIJARRO
TI  - SUFFICIENT CONDITIONS FOR THE EXISTENCE OF LIMITING CARLEMAN WEIGHTS
JO  - Forum of Mathematics, Sigma
PY  - 2017
VL  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1017/fms.2017.4/
DO  - 10.1017/fms.2017.4
LA  - en
ID  - 10_1017_fms_2017_4
ER  - 
%0 Journal Article
%A PABLO ANGULO-ARDOY
%A DANIEL FARACO
%A LUIS GUIJARRO
%T SUFFICIENT CONDITIONS FOR THE EXISTENCE OF LIMITING CARLEMAN WEIGHTS
%J Forum of Mathematics, Sigma
%D 2017
%V 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1017/fms.2017.4/
%R 10.1017/fms.2017.4
%G en
%F 10_1017_fms_2017_4
PABLO ANGULO-ARDOY; DANIEL FARACO; LUIS GUIJARRO. SUFFICIENT CONDITIONS FOR THE EXISTENCE OF LIMITING CARLEMAN WEIGHTS. Forum of Mathematics, Sigma, Tome 5 (2017). doi: 10.1017/fms.2017.4

Cité par Sources :